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Taking the derivative of arccosine
Learn how to solve differential calculus 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 differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(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)}. Multiplying the fraction by \cos\left(x\right). Simplify the derivative.