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

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

### Your Input

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

### Solution

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

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

### Answer

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