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Chapter 2: Q. 62 (page 198)

Use the differentiation rules developed in this section to find the derivatives of the functions in Exercises 35-64. Note that it may be necessary to do some preliminary algebra before differentiating.

f(x)=1(x+1)3

Short Answer

Expert verified

The derivative of the function is-3(x+1).

Step by step solution

01

Step 1. Given Information

The given function isf(x)=1(x+1)3.

02

Step 2. Find the derivative

Apply the quotient rule of derivative, fg'(x)=f'(x)g(x)-f(x)g'(x)(g(x))2.

f'(x)=ddx(1)脳(x+1)3-(1)ddx(x+1)3(x+1)3=(0)脳(x+1)3-3(x+1)2(x+1)3=-3(x+1)

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Most popular questions from this chapter

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