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Mathematics 24 Online
OpenStudy (anonymous):

derivative of g(x) = (2ra^(rx)+n)^p ?

OpenStudy (anonymous):

pretty confused here

OpenStudy (anonymous):

haha it's been a while since derivatives for me, but i'll try o.O

OpenStudy (anonymous):

are r, a, n, and p constants?

OpenStudy (anonymous):

the textbook answer is g'(x) = 2r^(2) p (ln a) (2ra^(rx) + n)^(p-1) a^(rx)

OpenStudy (anonymous):

guess so

OpenStudy (anonymous):

i mean i got as far as p(2ra^(rx) + n)^(p-1) d/dx (2ra^(rx) + n) you know... but at that point i'm sort of at a loss as to what's next

OpenStudy (anonymous):

you could use the exponential rule for 2ra^(rx) dx . . . so that would be 2ra^(rx)ln(a) + a^rx, i think.

OpenStudy (anonymous):

after simplifying that's pretty close to the textbook answer, probably i messed up a little on my derivatives. i'm just missing the 2r^2 part :P

OpenStudy (anonymous):

yo me too what the hell!!

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