Vault Of Euclid

Derivative of sin(3x)

Trigonometric and inverse trigonometric functions warmup

Calculate \( \frac{d}{dx}(\sin 3x) \).

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What you need first

the chain rule
the derivative of the sine function
the power rule for derivatives

What this problem tests

Tests the student's ability to recognize a composite function and correctly apply the chain rule along with basic trigonometric derivatives.

This is a fundamental exercise in Calculus I, introducing the application of the chain rule to basic trigonometric functions.

More on Trigonometric and inverse trigonometric functions

Derivative of a Difference of Square Roots warmup
Equation of a Normal Line Using the Chain Rule warmup
Derivative of Nested Square Roots warmup
Derivative of a Composite Polynomial Function warmup

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