Derive (x-ln(x))*2^(x^2)
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Derive (x-ln(x))*2^(x^2)

[From: ] [author: ] [Date: 12-04-10] [Hit: ]
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Can someone help me to Derive (x-ln(x))*2^(x^2) ?

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The derivative of 2^(x^2) is 2xln(2) 2^(x^2)

Use the product rule

d/dx((x-ln(x))*2^(x^2))

=(x-ln(x)*2xln(2) 2^(x^2)+2^(x^2)(1-1/x)

=2^(x^2)[2xln(2)(x-ln(x)]+2^(x^2)(1- 1/x) factor 2^(x^2)

=2^(x^2)[2xln(2)(x-ln(x)+1 -1/x]

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