Derivative of tan(2x)

Answer

2 \cdot \mathrm{sec}\left(2 \cdot x\right)^{2}

Derivative of tan(2x)

Rule Used: Chain Rule
Steps: Identify a composite function in $\tan(2 \cdot x)$ : 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: $2 \cdot s$ ec( $2 \cdot x$ )^2

The derivative of tan(2*x) is 2*sec(2*x)^2.

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

Derivative TrigonometricIntermediate

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Derivative of tan(2x) = 2*sec(2*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-tan2x

How to find the derivative of tan(2x)

To find the derivative of tan(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 tan(2x)?▼

The derivative of tan(2x) is 2*sec(2*x)^2.

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

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

Why is the derivative of tan(2x) equal to 2*sec(2*x)^2?▼

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

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