Question

For the function f(x)=-2x^2 : (a) A simplified form of the difference quotient (f(x+h)-f(x))/h , when h!=0 , is . (b) Use the simplified form to compute the difference quotient for the following. When x=2 and h=1 , the difference quotient is . When x=2 and h=0.2 , the difference quotient is . When x=2 and h=0.1 , the difference quotient is . When x=2 and h=0.01 , the difference quotient is .

          For the function f(x)=-2x^2 :

(a) A simplified form of the difference quotient (f(x+h)-f(x))/h , when h!=0 , is .

(b) Use the simplified form to compute the difference quotient for the following.

When x=2 and h=1 , the difference quotient is .

When x=2 and h=0.2 , the difference quotient is .

When x=2 and h=0.1 , the difference quotient is .

When x=2 and h=0.01 , the difference quotient is .

For the function f(x)=-2x^2 :

(a) A simplified form of the difference quotient (f(x+h)-f(x))/h , when h!=0 , is .

(b) Use the simplified form to compute the difference quotient for the following.

When x=2 and h=1 , the difference quotient is .

When x=2 and h=0.2 , the difference quotient is .

When x=2 and h=0.1 , the difference quotient is .

When x=2 and h=0.01 , the difference quotient is .

Added by Antonio S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Melissa Munoz

02/15/2023

Step 1

(a) When x=2 and h=1, the difference quotient is 2x. Show more…

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For the function f(x)=-2x^2: (a) A simplified form of the difference quotient (f(x+h)-f(x))/h, when h!=0, is . (b) Use the simplified form to compute the difference quotient for the following. When x=2 and h=1, the difference quotient is . When x=2 and h=0.2, the difference quotient is . When x=2 and h=0.1, the difference quotient is . When x=2 and h=0.01, the difference quotient is .