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Inverse trigonometric functions differentiation Calculator

Get detailed solutions to your math problems with our Inverse trigonometric functions differentiation step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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1

Solved example of inverse trigonometric functions differentiation

$\frac{d}{dx}\left(\arcsin\left(4x^2\right)\right)$
2

Taking the derivative of arcsine

$\frac{\frac{d}{dx}\left(4x^2\right)}{\sqrt{1-\left(4x^2\right)^2}}$
3

La derivada de una función multiplicada por una constante es igual a la constante por la derivada de la función

$\frac{4\frac{d}{dx}\left(x^2\right)}{\sqrt{1-\left(4x^2\right)^2}}$
4

Utilizamos la regla de diferenciación de potencias, la cual dice que si $n$ es un número real y si $f(x) = x^n$, entonces $f'(x) = nx^{n-1}$

$\frac{8x}{\sqrt{1-\left(4x^2\right)^2}}$
5

Aplicando la regla de potencia de un producto

$\frac{8x}{\sqrt{1-16\left(x^2\right)^2}}$
6

Aplicando la regla de potencia de una potencia

$\frac{8x}{\sqrt{1-16x^{4}}}$

Answer

$\frac{8x}{\sqrt{1-16x^{4}}}$

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