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Step-by-step Solution

Derive the function $\arcsin\left(4x^2\right)$ with respect to x

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Step-by-step explanation

Problem to solve:

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

Learn how to solve differential calculus problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve differential calculus problems step by step online. Derive the function arcsin(4*x^2) with respect to x. Taking the derivative of arcsine. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The power of a product is equal to the product of it's factors raised to the same power.

Answer

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

Problem Analysis

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

Main topic:

Differential calculus

Related formulas:

3. See formulas

Time to solve it:

~ 0.09 seconds