Derivative of $$$\operatorname{acos}{\left(x \right)}$$$

The calculator will find the derivative of $$$\operatorname{acos}{\left(x \right)}$$$, with steps shown.

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Find $$$\frac{d}{dx} \left(\operatorname{acos}{\left(x \right)}\right)$$$.


The derivative of the inverse cosine is $$$\frac{d}{dx} \left(\operatorname{acos}{\left(x \right)}\right) = - \frac{1}{\sqrt{1 - x^{2}}}$$$:

$${\color{red}\left(\frac{d}{dx} \left(\operatorname{acos}{\left(x \right)}\right)\right)} = {\color{red}\left(- \frac{1}{\sqrt{1 - x^{2}}}\right)}$$

Thus, $$$\frac{d}{dx} \left(\operatorname{acos}{\left(x \right)}\right) = - \frac{1}{\sqrt{1 - x^{2}}}$$$.


$$$\frac{d}{dx} \left(\operatorname{acos}{\left(x \right)}\right) = - \frac{1}{\sqrt{1 - x^{2}}}$$$A