# Derivative of $$$x^{2} + 1$$$

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### Your Input

**Find $$$\frac{d}{dx} \left(x^{2} + 1\right)$$$.**

### Solution

**The derivative of a sum/difference is the sum/difference of derivatives:**

**The derivative of a constant is $$$0$$$:**

**Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 2$$$:**

Thus, $$$\frac{d}{dx} \left(x^{2} + 1\right) = 2 x$$$.

### Answer

**$$$\frac{d}{dx} \left(x^{2} + 1\right) = 2 x$$$A**