Question

find the derivative of the given function. Simplify and express the answer using positive exponents only.
g(x)= (9)/(2(x^3-7)^5)

Answer 1

make that
\[\frac{9}{2}(x^2-7)^{-5}\]

Answer 2

\[g(x)=\frac{ 9 }{ 2(x ^{3}-7)^{5} }\]

Answer 3

ok start with \[\frac{9}{2}(x^3-7)^{-5}\]

Answer 4

clear how to proceed?

Answer 5

\[\frac{ -45 }{ 2} (x ^{3}-7)^{-6}\]

Answer 6

then i take the derivative of inside the parentasis?

Answer 7

@satellite73 \[\frac{ -135 }{ 2 }x ^{2}(x ^{3}-7)^{-6}\] what do i do from here?

Answer 8

\[-\frac{ 135x ^{2} }{ 2(x ^{3}-7)^{6} }\]

Answer 9

i guess you can write it back in fraction form

Answer 10

okay thank you so much!

Answer 11

yes, that is it!
yw (actually you did all the work)

Answer 12

lol haha yeah but if you hadn't shown me how to re-write the function i would have been clueless! @satellite73 :D