Calculus Examples

$2 x (x^{\frac{2}{3}})$

Step 1

Move $x^{\frac{2}{3}}$ .

$2 (x^{\frac{2}{3}} x)$

Step 2

Multiply $x^{\frac{2}{3}}$ by $x$ .

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Step 2.1

Raise $x$ to the power of $1$ .

$2 (x^{\frac{2}{3}} x^{1})$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 x^{\frac{2}{3} + 1}$

Step 3

Write $1$ as a fraction with a common denominator.

$2 x^{\frac{2}{3} + \frac{3}{3}}$

Step 4

Combine the numerators over the common denominator.

$2 x^{\frac{2 + 3}{3}}$

Step 5

Add $2$ and $3$ .

$2 x^{\frac{5}{3}}$