help with calculus please ! its attached

Question

anonymous · Answer

i got log^t(2) log(log(2))

anonymous · Answer

but how can i write it in a different form/way?

anonymous · Answer

at least without the log^t?

mathmale · Answer

Just as a review, would y ou please type out the formula for the derivative with respect to x of y=a^x?

anonymous · Answer

derivative formula is y=ax^x-1   ?

anonymous · Answer

@mathmale

mathmale · Answer

sorry for the slow response, but I'm helping several peole at once.  would yo0u please look up the derivative of y=a^x?    it's not y=ax^x-1.

anonymous · Answer

dy/dx = ln(a) y

mathmale · Answer

the way I remember it:

Given y = a^x, the derivative is
         y' = a^x ln a.

does that look at all familiar?  We MUST agree on the correct derivative before moving on.

Please double check your textbook, study notes or online notes.