Derivative of asin(4x)

Answer

\frac{4}{\sqrt{-16 \cdot x^{2}+1}}

Derivative of asin(4x)

Rule Used: Chain Rule
Steps: Identify a composite function in $\arcsin(4 \cdot x)$ : 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: $4 \cdot s$ qrt(- $16 \cdot x^2$ +1)^(-1)

The derivative of asin(4*x) is 4*sqrt(-16*x^2+1)^(-1).

Instant step-by-step solution for asin(4x)

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Derivative of asin(4x) = 4*sqrt(-16*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-asin4x

How to find the derivative of asin(4x)

To find the derivative of asin(4x), 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 asin(4x)?▼

The derivative of asin(4x) is 4*sqrt(-16*x^2+1)^(-1).

How do you find the derivative of asin(4x)?▼

Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*sqrt(-16*x^2+1)^(-1).

Why is the derivative of asin(4x) equal to 4*sqrt(-16*x^2+1)^(-1)?▼

Because differentiation measures how a function changes — applying the rules to asin(4x) yields 4*sqrt(-16*x^2+1)^(-1). See the full step-by-step breakdown above.

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