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Calculus1 26 Online
OpenStudy (katangels_96):

Derivative of f(x)=(x^3-3x^2+4)/x^2

OpenStudy (katangels_96):

How would I do the constant part?

OpenStudy (katangels_96):

Would it just be 4x^-2 or...4x^2

Nnesha (nnesha):

the first because the negative would be negative when you move it to the top \[\frac{ a }{ x } =ax^{-1}\] (a is a constant)

Nnesha (nnesha):

first one *

Nnesha (nnesha):

the first one because the exponent would be negative when you move it to the top **typos -_-

OpenStudy (katangels_96):

Okay, so would it be x-3+4x^-2 ?

Nnesha (nnesha):

yes

OpenStudy (katangels_96):

OKay so the derivative would be ... 1-8x^-3 ?

Nnesha (nnesha):

good!!

OpenStudy (katangels_96):

So then it would be if you put if back into form... 1-8/(x^3) ?

Nnesha (nnesha):

\[1-\frac{8}{x^3}\] yes correct. good job! :D

OpenStudy (katangels_96):

Thank you !!

Nnesha (nnesha):

yw! :=)) o^_^o

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