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Mathematics 15 Online
OpenStudy (anonymous):

Calculate the derivative of the function g(x) = (x^2 − 3x − 1)^−6

OpenStudy (anonymous):

i got -6(x^2-3x-1)(-3) but its incorrect

OpenStudy (anonymous):

there should be a -6(x^2-3x-1)^-7, I believe

OpenStudy (anonymous):

@kbchick1 what do you mean? that should be the answer?

OpenStudy (anonymous):

nX^n-1 when n is any real number so It should be -6(x^2-3x-1)^-6-1

OpenStudy (anonymous):

no that's not the final answer

OpenStudy (anonymous):

The next part should be like (2x-3) I think lol

OpenStudy (anonymous):

Pretty sure, yeah. derivative of x^2 is 2x and derivative of 3x is 3(1) and deri of any number is 0

OpenStudy (anonymous):

@kbchick1 thats not how you do it lol

OpenStudy (tkhunny):

Too much confusion. I'll just settle it. \(g(x) = (x^{2} − 3x − 1)^{−6}\) \(g'(x) = (-6)(x^{2} − 3x − 1)^{−7}\cdot(2x-3)\)

OpenStudy (anonymous):

that's what I said lol

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