Question

what is the derivative of x2 +1/x
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Answer 1

Step-by-step explanation:

Let it be equal to y

$y = {x}^{2} + \frac{1}{x}$

Taking derivative on both sides we get

${y}^{.} = 2x + ( - 1 {x}^{ - 1 - 1} )$

${y}^{.} = 2x - \frac{1}{ {x}^{2} }$

After simplifying more

${y}^{.} = \frac{ {x}^{3} + 1 }{x}$