Final answer to the problem
$\frac{-\sec\left(\arccos\left(x\right)\right)^2}{\sqrt{1-x^2}}$
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Step-by-step Solution
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of tan(arccos(x)). The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. Taking the derivative of arccosine. The derivative of the linear function is equal to 1. Multiply the fraction by the term .
Final answer to the problem
$\frac{-\sec\left(\arccos\left(x\right)\right)^2}{\sqrt{1-x^2}}$
