smileatyourself
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Given y=f(x), we find dy/dx to determine its gradient function and then use that to find max / min values.

How can we use calculus to find out the max rate of change?
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TenOfThem
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(Original post by smileatyourself)
Given y=f(x), we find dy/dx to determine its gradient function and then use that to find max / min values.

How can we use calculus to find out the max rate of change?
Differentiate again and set that to zero
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TeeEm
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(Original post by smileatyourself)
Given y=f(x), we find dy/dx to determine its gradient function and then use that to find max / min values.

How can we use calculus to find out the max rate of change?
in analogy we differentiate again and set the second derivative to zero

then
if the third gradient is positive at that value, we have a (local) min rate of change
then if the third gradient is negative at that value, we have a (local) max rate of change

EDIT: too late
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