To find the derivative function of f(x), we need to differentiate each term separately using the power rule and constant multiple rule of differentiation.
f(x) = x⁻¹ – x + 2
Using the power rule, we have:
f'(x) = (-1) x^(−1−1) – 1 + 0
Simplifying this expression, we get:
f'(x) = -x^(-2) – 1
Therefore, the derivative function of f(x) = x⁻¹ – x + 2 is:
f'(x) = -x^(-2) – 1
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