Final answer to the problem
$-1$
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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
$\frac{1}{\sqrt{1-\cos\left(x\right)^2}}\frac{d}{dx}\left(\cos\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{1}{\sqrt{1-\cos\left(x\right)^2}}\frac{d}{dx}\left(\cos\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arcsin(cos(x)). Taking the derivative of arcsine. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). Multiply the fraction by the term . Any expression multiplied by 1 is equal to itself.
Final answer to the problem
$-1$
