Thread: Derivatives problems

Find an equation of the tangent line to the curve at the point (1, 1).

y = ln (xe^x^4)

in order to find the slope i take the derivative so i use product and chain rule, it become (1/xe^x^4)(1(ex)^4+4x(ex )^3(ex)) and i know once i get the slope i can just use y-y1=m(x-x1) but somehow the slope is not right? is it the step i take the derivative wrong?

I'm assuming this is it :

If it is so, then you should be careful with your exponents.

So when differentiating , it should be:

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As an alternative, you can make your life easier by using some logarithmic properties first before differentiating: