AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Find

\dfrac{dy}{dx}

for

y=\sqrt{\ln(5x)}

. (a)

\dfrac{1}{2\sqrt{\ln(5x)}}

(b)

\dfrac{1}{x\sqrt{\ln(5x)}}

(c)

\dfrac{1}{2x\sqrt{\ln(5x)}}

(d)

\dfrac{5}{2x\sqrt{\ln(5x)}}

Related theory

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

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