Final answer to the problem
$\frac{-4x}{\sqrt{1-\left(1-2x^2\right)^2}}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Taking the derivative of arcsine
$\frac{1}{\sqrt{1-\left(1-2x^2\right)^2}}\frac{d}{dx}\left(1-2x^2\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{1}{\sqrt{1-\left(1-2x^2\right)^2}}\frac{d}{dx}\left(1-2x^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arcsin(1-2x^2). Taking the derivative of arcsine. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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}.
Final answer to the problem
$\frac{-4x}{\sqrt{1-\left(1-2x^2\right)^2}}$
