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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

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

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

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

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

The power of a product is equal to the product of it's factors raised to the same power

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

Answer

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

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