Derivative of sin(3x)
Trigonometric and inverse trigonometric functions
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Calculate \( \frac{d}{dx}(\sin 3x) \).
calculus-idifferentiationderivativeschain-ruletrigonometric-functionssinecosinecomposite-functionsevaluate-derivative
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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.
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