Calculus1
4 Online
OpenStudy (anonymous):
Just want an answer checked:
Find the derivative of the function given below.
y = (3x4 – 3x + 5)^-3
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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~~~ :)
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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.
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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):
\[-3(\frac{ 12x ^{3}-3 }{ (3x ^{4}-3x + 5)^{4} })\]
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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!
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OpenStudy (anonymous):
ok your wlcome