Which one of the following gives the derivative of the product of two differentiable…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Which one of the following gives the derivative of the product

f(x)\,g(x)

of two differentiable functions

f

and

g

? (a)

f'(x)+g'(x)

(b)

f'(x)g(x)+f(x)g'(x)

(c)

f'(x)g'(x)

(d)

f'(x)g(x)

Related theory

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

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