Final answer to the problem
$\frac{1}{\sqrt{1-x^2}}$
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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 arccosine
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$\frac{-1}{\sqrt{1-\left(\sqrt{1-x^2}\right)^2}}\frac{d}{dx}\left(\sqrt{1-x^2}\right)$
Learn how to solve problems step by step online. Find the derivative of arccos((1-x^2)^(1/2)). Taking the derivative of arccosine. Cancel exponents \frac{1}{2} and 2. Simplify the product -(1-x^2). Subtract the values 1 and -1.
Final answer to the problem
$\frac{1}{\sqrt{1-x^2}}$
