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Single Variable Calculus

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Moderate

Chain Rule with Exponential Functions

SVCALC-ZT7IJH

Find the derivative of $f(x) = 7^{-\frac7x}$.

A

$\dfrac{7^{1-\frac7x} \ln 7}{x^2}$

B

$-\dfrac{7^{1-\frac7x}}{x^2}$

C

$-\dfrac{7^{1-\frac7x}}{x}$

D

$-\dfrac{7^{1-\frac7x} \ln 7}{x^2}$