Calculate Higher Order Derivatives

Practice Questions

Calculus AB › Calculate Higher Order Derivatives

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1

If

$f^{'}(x)=2$

and $g^{'}(x)=4$ ,

then find $h^{'}(x)$ .

2

Find the second derivative of .

3

Find the second derivative of .

4

If

$f^{'}(x)=2$

and $g^{'}(x)=4$ ,

then find $h^{'}(x)$ .

5

$h(x)=\frac{f+g}{f}$

If

and ,

then find .

6

On a closed interval, the function is decreasing. What can we say about and on these intervals?

7

$h(x)=\frac{f+g}{f}$

If

and ,

then find .

8

On a closed interval, the function is decreasing. What can we say about and on these intervals?

9

What is the second derivative of .

10

On what intervals is the function both concave up and decreasing?

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