y = 9^(5x + 8) Find the derivative
Ans correct? - 9^(5x + 8) ln(9)*(5)

Question

y = 9^(5x + 8) Find the derivative
                                                                                                               Ans correct? -  9^(5x + 8) ln(9)*(5)

anonymous · Answer

do you know what the derivative of :
$$y = a^x$$
is?   (a is just a number, like 2, or 3, or whatever)

anonymous · Answer

x*a-x

anonymous · Answer

chain rule! :)

anonymous · Answer

you cant treat it like:
 and just pull the power down and subtract one, those are different functions.
 I wont bother you with the proof (unless you want to see it, its not too long), but if:
$$y = a^x$$
the derivative is:
$$y' = a^xln(a)$$

anonymous · Answer

er, i meant you cant treat it like 
$$y = x^n$$
i wonder where the equation went >.<

anonymous · Answer

so was the ans correct i wasn't sure how to multiply the last part

anonymous · Answer

oh, i didnt see you had attempted already, my bad >.< your answer is correct. you can leave it that way, or if you want make the 5 a power on the 9, but it doesnt really matter.

anonymous · Answer

thanks man