# Find the derivative of 1/ x?

Updated on July 7, 2023

Answer: The derivative of 1/x with respect to x is -1/x^2.

## Calculus Basics

The derivative of a function gives us a new function that outputs the rate of change of the original function. The derivative of 1/x, with respect to x, is -1/x^2. This means that the slope of the tangent line to the curve y = 1/x at any point is -1 divided by the square of the x-coordinate of the point.

## FAQ on Calculus

### What is the derivative of x^2?

The derivative of x^2 is 2x.

### What is the derivative of x^3?

The derivative of x^3 is 3x^2.

### What is the derivative of sqrt(x)?

The derivative of sqrt(x) is 1/(2*sqrt(x)).