Calculus, 8th Edition,stewart; page 21 problem 27

Question

Evaluate the difference quotient for the given function. simplify your answer.

f(x) = 4+3x-x^2,  (f(3+h) - f(3))/h

Answer 1

Step:1

The function is .

First evaluate .

Substitute in the function .

.

Evaluate .

Substitute in the function .

.

Step:2

Find .

Substitute and in the above function.

Solution:

.