Let , where and are differentiable at . Given , , , and , determine…

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

Problem

Let

h(x)=\dfrac{f(x)}{g(x)}

, where

f

and

g

are differentiable at

x=3

. Given

f(3)=2

g(3)=-1

f'(3)=5

, and

g'(3)=4

, determine

h'(3)

Related theory

Differentiation Rules
Derivatives of standard functions via chain rule
Differentiability of functions
Continuity and Differentiability

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