What is the derivative of ${(arccos (x))}^{2}$ $(arccos(x))^2$ ?

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What is the derivative of ${(arccos (x))}^{2}$ $(arccos(x))^2$ ?

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Answer 1 · 2017-11-28T15:51:19

$- \frac{2 arccos (x)}{\sqrt{1 - x^{2}}}$ $-(2arccos(x))/(sqrt(1-x^2))$

Explanation:

$\frac{d}{d x} {(arccos (x))}^{2} = 2 (arccos (x)) \cdot - \frac{1}{\sqrt{1 - x^{2}}} = - \frac{2 arccos (x)}{\sqrt{1 - x^{2}}}$ $d/dx(arccos(x))^2=2(arccos(x))*-1/(sqrt(1-x^2))=-(2arccos(x))/(sqrt(1-x^2))$

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What is the derivative of ${(arccos (x))}^{2}$ $(arccos(x))^2$ ?

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What is the derivative of ${(arccos (x))}^{2}$ $(arccos(x))^2$ ?