## Step-by-step explanation

Problem to solve:

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

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

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 power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant (4) 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}.