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Popular >

derivative of+5-5x^{-1}+x^2+3

Solution

\frac{d}{d x} (+ 5 - 5 x^{- 1} + x^{2} + 3)

Solution

2 x + \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (5 - 5 x^{- 1} + x^{2} + 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5) - \frac{d}{d x} (5 x^{- 1}) + \frac{d}{d x} (x^{2}) + \frac{d}{d x} (3)

\frac{d}{d x} (5) = 0

\frac{d}{d x} (5 x^{- 1}) = - \frac{5}{x ^{2}}

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (3) = 0

= 0 - (- \frac{5}{x ^{2}}) + 2 x + 0

Simplify

= 2 x + \frac{5}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of+5-5x^{-1}+x^2+3 ?
The derivative of+5-5x^{-1}+x^2+3 is 2x+5/(x^2)
What is the first derivative of+5-5x^{-1}+x^2+3 ?
The first derivative of+5-5x^{-1}+x^2+3 is 2x+5/(x^2)