If and are differentiable functions of with

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

Problem

u(x)

and

v(x)

are differentiable functions of

x

with

v(x)\neq0

, state the derivative of

\dfrac{u(x)}{v(x)}

in terms of

u

v

u'

and

v'

Related theory

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

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