# Second derivative of $$$x$$$

Related calculators: Derivative Calculator, Logarithmic Differentiation Calculator

### Your Input

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

### Solution

**Find the first derivative $$$\frac{d}{dx} \left(x\right)$$$**

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

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

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

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

Thus, $$$\frac{d}{dx} \left(1\right) = 0$$$.

Therefore, $$$\frac{d^{2}}{dx^{2}} \left(x\right) = 0$$$.

### Answer

**$$$\frac{d^{2}}{dx^{2}} \left(x\right) = 0$$$A**