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Calculus1 4 Online
OpenStudy (anonymous):

Just want an answer checked: Find the derivative of the function given below. y = (3x4 – 3x + 5)^-3

OpenStudy (anonymous):

\[-3 x (\frac{ 4x^3-3 }{ (3x^4-3x+5)^-4 }\]

OpenStudy (anonymous):

that's not a -3x, it's -3 times the fraction.

hartnn (hartnn):

why is there 3x multiplied ?

hartnn (hartnn):

then you are correct!

OpenStudy (anonymous):

yay~~~ :)

OpenStudy (anonymous):

there should be 12 x^3 in place of 4x^3

OpenStudy (anonymous):

why?

OpenStudy (anonymous):

it should be 12x^2 shouldnt it?

OpenStudy (anonymous):

can you write correct answer for us

OpenStudy (anonymous):

12x^3, i see why.

hartnn (hartnn):

-3*(4x-3) will give -12x^3 +9 @uzumakhi

OpenStudy (anonymous):

i didn't do out the derivative, i get it.

OpenStudy (anonymous):

so i was right to begin with?

OpenStudy (anonymous):

now im confused.. was my answer okay in the first place?

OpenStudy (anonymous):

\[-3(\frac{ 12x ^{3}-3 }{ (3x ^{4}-3x + 5)^{4} })\]

OpenStudy (anonymous):

recheck your answer with my answer then you find your mistakes

hartnn (hartnn):

oh , yes.....sorry! u missed the 3 @uzumakhi is correct. sorry for confusion :(

OpenStudy (anonymous):

no i have the same now because when you take the derivative of 3x^4-3x+5 it is 12x^3-3, i forgot to place my power rule on my 3x^4

OpenStudy (anonymous):

that i want to tell in begining

OpenStudy (anonymous):

i gotcha!

OpenStudy (anonymous):

ok your wlcome

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