Let , where and are differentiable functions. At the following values are known: , ,…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let

s(x)=x^{2}a(x)b(x)

, where

a

and

b

are differentiable functions. At

x=1

the following values are known:

a(1)=2

a'(1)=-1

b(1)=3

, and

s'(1)=20

. Determine

b'(1)

Related theory

Differentiation Rules

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