Find the derivative of 1/ x.
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.
Answer: The derivative of 1/x is -1/x2.
Let us proceed step by step.
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