Calculus Examples

${(5 x \cos (x))}^{2}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $5 x \cos (x)$ .

${(5 x)}^{2} \cos^{2} (x)$

Step 1.2

Apply the product rule to $5 x$ .

$5^{2} x^{2} \cos^{2} (x)$

Step 2

Raise $5$ to the power of $2$ .

$25 x^{2} \cos^{2} (x)$