Grade 12Differential Calculus

differentiate the following function with respect to x
e^(x) log x/x^2

taniska

12 Years agoGrade 12

2 Answers

Rinkoo Gupta

12 Years ago

y=(e^xlogx)/x²

dy/dx=[x²{e^x/x+logx.e^x}-e^xlogx.2x]/x⁴

=[xe^x+logx.e^x(x²-2x)]/x⁴

=[e^x+logx.e^x(x-2)]/x³

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

Arun Kumar

12 Years ago

$\\y=e^{x} log x/x^2 \\\frac{dy}{dx}=\frac{\frac{e^x\left(x\ln \left(x\right)+1\right)}{x}x^2-2xe^x\ln \left(x\right)}{x^{2*{2}}} \\\frac{dy}{dx}=\frac{e^x\left(x\ln \left(x\right)-2\ln \left(x\right)+1\right)}{x^3}$

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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differentiate the following function with respect to xe^(x) log x/x^2

taniska

2 Answers

Rinkoo Gupta

Arun Kumar

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