The derivative of a function is represented by or f ' (x). It means that the function is the derivative of y with respect to the variable x. Let us consider f (x) = 1/x =x -1 Then, f' (x) = n x n - 1, where n = -1. Replacing n with -1, we get f' (1/x) = -1 x -2 f' (1/x) = -1/ x 2 So, the derivative of 1/x is -1/x 2.

What is the derivative of 1/x? The derivative of 1 by x with respect to the variable x is equal to -1/x^2. It measures the rate of change of the algebraic function 1/x. It is denoted by d/dx (1/x) which is a fundamental concept in calculus.

Answer: Derivative of 1/x is -1/x2. To find the derivative of a function, we’re essentially figuring out how it changes when we tweak its independent variable. In the case of 1/x, our independent variable is ‘x,’ and we want to find the derivative, which shows us how 1/x changes concerning ‘x.’