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 arccosine
Learn how to solve inverse trigonometric functions differentiation problems step by step online.
$\frac{-1}{\sqrt{1-\sin\left(x\right)^2}}\frac{d}{dx}\left(\sin\left(x\right)\right)$
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the derivative of arccos(sin(x)). Taking the derivative of arccosine. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. Multiply the fraction by the term . Simplify the derivative.
Final answer to the problem
$-1$
