Question

timed problem
score: 5/10
$\frac{d}{dx}(x^{-5})$
answer
$-4x^{-4}$ $-5x^{-6}$ $-\frac{1}{6}x^{-6}$ $-\frac{1}{4}x^{-4}$

Explanation:

Step1: Apply power rule for derivatives

The power rule states $\frac{d}{dx}(x^n) = nx^{n-1}$. For $n=-5$:
$\frac{d}{dx}(x^{-5}) = -5x^{-5-1}$

Step2: Simplify the exponent

Calculate the new exponent:
$-5x^{-6}$

Answer:

B. $-5x^{-6}$