Find the derivative of 1/ x?

Table of Contents

    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)).

    Kid’s grade

    • Grade 1
    • Grade 2
    • Grade 3
    • Grade 4
    • Grade 5
    • Grade 6
    • Grade 7
    • Grade 8
    • Grade 9
    • Grade 10
    • Grade 11
    • Grade 12
    Image full form