A product with a logarithm

A product with a logarithm

7 marks

TGM Original

For x>0, y=x2ln x. Find the first and second derivatives and the tangent and normal at x=1.

Solution:

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Answer:\(y^{\prime}=2x\ln x+x;\ y^{\prime\prime}=2\ln x+3;\ y=x-1;\ y=1-x\)

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