Calculus Examples

$y = x^{0.3}$

Step 1

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 0.3$ .

$0.3 x^{- 0.7}$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$0.3 \frac{1}{x^{0.7}}$

Step 2.2

Combine $0.3$ and $\frac{1}{x^{0.7}}$ .

$\frac{0.3}{x^{0.7}}$