Problem Statement

2
{2,3,4,5}
5*5
25*25+(3/2.)*pow(25,3/2.)
(5+25)*(5+25)
round(812.5/900,2)

Use the Quotient Rule to calculate the following derivative.

Find if .

 
Step 1

We are asked to evaluate the derivative of the function w at z = 25.

Recognizing that is a quotient of two functions, we will need to use the Quotient Rule to calculate its derivative.

Question Sequence

Question 1

Recall the Quotient Rule for differentiation.

If f and g are differentiable functions, then is differentiable for all x such that and

A.
B.
Incorrect
Correct

 
Step 2

Let . We need to find f'(z) and g'(z) substitute into the quotient rule. Use the power rule and the sum rule to find f'(z) and g'(z).

Question Sequence

Question 2

The numerator of is , so .

Incorrect
Correct

 
Step 3

Find and simplify using the quotient rule with substituting and where appropriate.

Question 4

,

where n = .

Correct.
Incorrect.

 
Step 4

Find by substituting z = 25 into .

Question 5

=

(Round your answer to two decimal places.)

Correct.
Incorrect.