Power Rule Worksheet

The Power Rule

Positive Exponents

$\frac{d}{dx}[x^{3}]$=Submit Answer:

Negative Exponents

$\frac{d}{dx}[x^{-4}]$=Submit Answer:

Fractional Exponents

$\frac{d}{dx}[x^{1/3}]$=Submit Answer:

Negative Fractional Exponents

$\frac{d}{dx}[x^{-1/4}]$=Submit Answer:

Rewriting Functions

Radicals

$\frac{d}{dx}[x\sqrt{x}]$=Submit Answer:

Fractions

$\frac{d}{dx}[\frac{1}{x}]$=Submit Answer:

Lightning Round

Easy

$\frac{d}{dx}[x^{-8}]$=Submit Answer:

Medium

$\frac{d}{dx}[x^{1/2}]$=Submit Answer:

Hard

$\frac{d}{dx}[x^{8}\sqrt{x}]$=Submit Answer:
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