Math, asked by vpal75800, 1 year ago

Can explain me this question ​

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Answered by anu24239
3

\huge\mathfrak\red{Answer}

y = (x +  \frac{6}{x + 5} )( \frac{3x + 2}{ {x}^{2} + 5x + 6 } ) \\ \\  take \: lcm \\  \\ y = (  \frac{ {x}^{2} + 5x + 6 }{x + 5} )( \frac{3x + 2}{ {x}^{2} + 5x + 6 } ) \\ y =  \frac{3x + 2}{x + 5}  \\  \\  \frac{dy}{dx}  =  \frac{d( \frac{3x + 2}{x + 5} )}{dx}  \\  \\  \frac{dy}{dx}  =  \frac{(x + 5) \frac{d(3x + 2)}{dx}  - (3x + 2) \frac{d(x + 5)}{dx} }{ {(x + 5)}^{2} }  \\  \\  \frac{dy}{dx}  =  \frac{(x + 5)(3) - (3x + 2)(1)}{ {(x  + 5)}^{2} }  \\  \\  \frac{dy}{dx}  =  \frac{3x + 15 - 3x - 2}{ {(x + 5)}^{2} }  \\  \\  \frac{dy}{dx}  =  \frac{13}{ {( x + 5)}^{2} }

Answered by Anonymous
2

Answer:

the before answer will help u

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