Math, asked by abhishekpani81, 2 months ago

y=e^x×x^2 then dx/dy=​

Answers

Answered by sandy1816
3

y =  {e}^{x}  {x}^{2}  \\  \frac{dy}{dx}  =  {e}^{x}  \frac{d}{dx}  {x}^{2}  +  {x}^{2}  \frac{d}{dx}  {e}^{x}  \\  = 2x {e}^{x}  +  {x}^{2}  {e}^{x}  \\ so \:  \:  \:  \:  \frac{dx}{dy}  =  \frac{1}{2x {e}^{x} +  {x}^{2} {e}^{x}   }

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