What is the derivative of 1/ x

The derivative of a function is represented by or f ‘(x). The function is defined as the derivative of y with respect to the variable x.

Answer: The derivative of 1/x is -1/x2.

Let us proceed step by step.

Explanation:

Let us consider f(x) = 1/x =x-1

Then, f'(x) = n xn-1 , where n= -1.

Replacing n with -1, we get

f'(1/x) = -1 x-2   

f'(1/x) = -1/ x2

So, the derivative of 1/x is -1/x2.

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