Vault Of Euclid

Derivative of x^2 cos(2x)

Trigonometric and inverse trigonometric functions warmup

Differentiate the following expression with respect to \( x \): \[ x^{2} \cos 2 x \]

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What you need first

the product rule for differentiation
the chain rule for differentiation
derivatives of basic trigonometric functions
the power rule

What this problem tests

Tests the ability to recognize when to apply the product rule and how to correctly apply the chain rule to a trigonometric function.

This is a standard introductory calculus problem testing the combined use of the product and chain rules.

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