Let . What is…

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

Problem

Let

F(t)=\dfrac{\ln(4t+1)}{t^{3}}

. What is

F'(1)

? (a)

\dfrac{1}{5}-3\ln 5

(b)

\dfrac{4-3\ln 5}{5}

(c)

\dfrac{4}{5}-3\ln 5

(d)

\dfrac{4}{5}-\dfrac{\ln 5}{3}

Related theory

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

Browse the problem library