Mixing
Are the graphs I sketched of the derivative of a function and the function correct?
$begingroup$
I know that when the function is increasing, the derivative is positive. What I am confused about for the first one is that when I am sketching the derivative, I don't know what direction it goes (even though i know it is positive). What I am thinking is that where the graph has a min or max, then the derivative must have an x-intercept there. That is how I came up with my graph for the first two questions.
For the third question, I tried doing the opposite. So the derivative is positive thus the function is increasing and vice versa. Where the derivative has an x-intercept, the function has a min or max but the question is still a little confusing to me.
calculus derivatives
asked Jan 24 at 13:24
user8358234user8358234
342110
$endgroup$
add a comment |
$begingroup$
I know that when the function is increasing, the derivative is positive. What I am confused about for the first one is that when I am sketching the derivative, I don't know what direction it goes (even though i know it is positive). What I am thinking is that where the graph has a min or max, then the derivative must have an x-intercept there. That is how I came up with my graph for the first two questions.
For the third question, I tried doing the opposite. So the derivative is positive thus the function is increasing and vice versa. Where the derivative has an x-intercept, the function has a min or max but the question is still a little confusing to me.
calculus derivatives
asked Jan 24 at 13:24
user8358234user8358234
342110
$endgroup$
add a comment |
$begingroup$
I know that when the function is increasing, the derivative is positive. What I am confused about for the first one is that when I am sketching the derivative, I don't know what direction it goes (even though i know it is positive). What I am thinking is that where the graph has a min or max, then the derivative must have an x-intercept there. That is how I came up with my graph for the first two questions.
For the third question, I tried doing the opposite. So the derivative is positive thus the function is increasing and vice versa. Where the derivative has an x-intercept, the function has a min or max but the question is still a little confusing to me.
calculus derivatives
asked Jan 24 at 13:24
user8358234user8358234
342110
$endgroup$
I know that when the function is increasing, the derivative is positive. What I am confused about for the first one is that when I am sketching the derivative, I don't know what direction it goes (even though i know it is positive). What I am thinking is that where the graph has a min or max, then the derivative must have an x-intercept there. That is how I came up with my graph for the first two questions.
For the third question, I tried doing the opposite. So the derivative is positive thus the function is increasing and vice versa. Where the derivative has an x-intercept, the function has a min or max but the question is still a little confusing to me.
calculus derivatives
calculus derivatives
asked Jan 24 at 13:24
user8358234user8358234
342110
asked Jan 24 at 13:24
user8358234user8358234
342110
edited Jan 24 at 14:41
user8358234
asked Jan 24 at 13:24
user8358234user8358234
342110
asked Jan 24 at 13:24
user8358234user8358234
342110
asked Jan 24 at 13:24
user8358234user8358234
342110
342110
add a comment |
add a comment |
1 Answer
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I think it would be helpful for you to discretize your graph along X axis and calculate the derivative using some finite differences formula.
answered Jan 24 at 13:28
yas areyas are
547
$endgroup$
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
|
show 5 more comments
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I think it would be helpful for you to discretize your graph along X axis and calculate the derivative using some finite differences formula.
answered Jan 24 at 13:28
yas areyas are
547
$endgroup$
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
|
show 5 more comments
$begingroup$
I think it would be helpful for you to discretize your graph along X axis and calculate the derivative using some finite differences formula.
answered Jan 24 at 13:28
yas areyas are
547
$endgroup$
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
|
show 5 more comments
$begingroup$
I think it would be helpful for you to discretize your graph along X axis and calculate the derivative using some finite differences formula.
answered Jan 24 at 13:28
yas areyas are
547
$endgroup$
I think it would be helpful for you to discretize your graph along X axis and calculate the derivative using some finite differences formula.
answered Jan 24 at 13:28
yas areyas are
547
answered Jan 24 at 13:28
yas areyas are
547
answered Jan 24 at 13:28
yas areyas are
547
answered Jan 24 at 13:28
yas areyas are
547
547
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
|
show 5 more comments
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
it has to be a sketch. i do not have time on a test to do finite differences formula
$endgroup$
– user8358234
Jan 24 at 13:32
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
So in this case, focus on the extreme values of the function f, the derivative there must be zero. Then consider the curvature as well, the more the function is convex, the more the derivative increases rapidly.
$endgroup$
– yas are
Jan 24 at 13:37
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
i mentioned in my question that i did that. i want to know if my answers are correct and if not then how can i fix it
$endgroup$
– user8358234
Jan 24 at 13:43
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
Could you please post your answer using a paper with markers so as we can see the correspondences?
$endgroup$
– yas are
Jan 24 at 14:10
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
$begingroup$
okay i will do that
$endgroup$
– user8358234
Jan 24 at 14:13
|
show 5 more comments
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