Derivative of cos(2x)

Answer

-2 \cdot \mathrm{sin}\left(2 \cdot x\right)

Derivative of cos(2x)

Rule Used: Chain Rule
Steps: Identify a composite function in $\cos(2 \cdot x)$ : use the chain rule $\frac{d}{dx} f(g(x))$ = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
Differentiate the outer function, then multiply by the inner derivative.
Final answer: - $2 \cdot s$ in( $2 \cdot x$ )

The derivative of cos(2*x) is -2*sin(2*x).

Instant step-by-step solution for cos(2x)

Derivative TrigonometricIntermediate

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Derivative of cos(2x) = -2*sin(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cos2x

How to find the derivative of cos(2x)

To find the derivative of cos(2x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

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Frequently Asked Questions

What is the derivative of cos(2x)?▼

The derivative of cos(2x) is -2*sin(2*x).

How do you find the derivative of cos(2x)?▼

Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -2*sin(2*x).

Why is the derivative of cos(2x) equal to -2*sin(2*x)?▼

Because differentiation measures how a function changes — applying the rules to cos(2x) yields -2*sin(2*x). See the full step-by-step breakdown above.

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