I'm trying to differentiate 2^(x^2), but I'm getting a factor of two out and can't figure out why. I approached the question as follows..(adsbygoogle = window.adsbygoogle || []).push({});

y=2^(x^2) , so y=(2^x)^x

u=2^x y=u^x

du/dx = (2^x)ln2

dy/du = xu^(x-1)

= x(2^x)^(x-1)

= x(2)^((x^2)-x)

So dy/dx =

[x(2)^((x^2)-x)]*[(2^x)Ln2]

However, on the mark scheme it says when x=2, the gradient should be 64ln2. Using my derivative, at x=2 the gradient comes out at 32ln2. Can anyone help me find where I've gone wrong? Much appreciated!

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# Homework Help: Differentiating 2^(x^2)

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