Derivada de asin(5x)

Answer

\frac{5}{\sqrt{-25 \cdot x^{2}+1}}

Derivative of asin(5x)

Rule Used: Chain Rule
Steps: Identify a composite function in $\arcsin(5 \cdot x)$ : 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: $5 \cdot s$ qrt(- $25 \cdot x^2$ +1)^(-1)

A derivada de asin(5*x) é 5*sqrt(-25*x^2+1)^(-1).

Solução passo a passo instantânea para asin(5x)

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Derivative of asin(5x) = 5*sqrt(-25*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-asin5x

Como encontrar a derivada de asin(5x)

Para encontrar a derivada de asin(5x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

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Frequently Asked Questions

What is the derivative of asin(5x)?▼

The derivative of asin(5x) is 5*sqrt(-25*x^2+1)^(-1).

How do you find the derivative of asin(5x)?▼

Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*sqrt(-25*x^2+1)^(-1).

Why is the derivative of asin(5x) equal to 5*sqrt(-25*x^2+1)^(-1)?▼

Because differentiation measures how a function changes — applying the rules to asin(5x) yields 5*sqrt(-25*x^2+1)^(-1). See the full step-by-step breakdown above.

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