Find the derivative of 1/ x?

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)).

Math Catch Up Program

Image -Math Catch Up Program
  • Learn Math Simple - Fast - Effective
  • Overcome math obstacles and reach new heights with Brighterly.

Kid’s grade

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8

Simple - Fast - Effective
Overcome math obstacles and reach new heights with Brighterly.

Select Your Grade
Table of Contents

Kid’s grade

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
Image full form