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A day full of math games & activities. Find one near you.
Solution:
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 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.
Summary:
The derivative of 1/x is -1/x2.