Question

what should be the differentiation of x/x²+x²/x​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\underline\purple{SOLUTION :-}$

$given \: equation \: ( \frac{x}{ {x}^{2} } + \frac{ {x}^{2} }{x} )$

$let \: y \: = \frac{x}{ {x}^{2} } + \frac{ {x}^{2} }{x}$

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

$y = {x}^{ - 1} + x$

ON DIFFERENTIATING THIS EQUATION WITH RESPECT TO x

WE GET,

$\frac{dy}{dx} = \frac{d }{dx} {x}^{ - 1} + \frac{d}{dx} {x}^{1}$

$\frac{dy}{dx} = ( - 1){x}^{( - 1 - 1)} + (1) {x}^{(1 - 1)}$

$\frac{dy}{dx} = - {x}^{ (- 2)} + {x}^{0}$

$\frac{dy}{dx} = - {x}^{ (- 2)} + 1$

Answer...

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