Question

hw 14 - derivatives of logs section 2.9: problem 2 (1 point)
let
$f(x)=ln(x^{4})$
$f(x)=square$
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Explanation:

Step1: Use log - property

First, use the property of logarithms $\ln(a^b)=b\ln(a)$. So, $\ln(x^{4}) = 4\ln(x)$.

Step2: Differentiate

The derivative of $\ln(x)$ is $\frac{1}{x}$. Using the constant - multiple rule of differentiation, if $y = 4\ln(x)$, then $y^\prime=4\times\frac{1}{x}$.

Answer:

$\frac{4}{x}$