If f(x) = x - 1/x then, f’(-1) will be2 points12-20
Question
If f(x) = x - 1/x then, f’(-1) will be2 points12-20
Solution
To find f'(-1), we first need to find the derivative of the function f(x) = x - 1/x.
The derivative of x with respect to x is 1.
The derivative of -1/x with respect to x is 1/x^2.
So, the derivative of the function f(x) = x - 1/x is f'(x) = 1 + 1/x^2.
Now, to find f'(-1), we substitute x = -1 into the derivative function:
f'(-1) = 1 + 1/(-1)^2 = 1 + 1 = 2.
So, f'(-1) = 2.
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