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Mathematics 17 Online
OpenStudy (anonymous):

f(x)=x^2 -1 / x^3 what are the critical points of function ?

random231 (random231):

why dont you find the first derivative of the function?

OpenStudy (anonymous):

2x.x^3 - x^2-1.3x^2 / (x^3)^2

random231 (random231):

uh oh !

OpenStudy (anonymous):

this derivative of f(x)=x^2 -1 / x^3

random231 (random231):

pls simplify , i cant understand it!!!

OpenStudy (anonymous):

|dw:1396116182775:dw|

OpenStudy (ranga):

you need parenthesis around (x^2 - 1)

random231 (random231):

exacty sir ranga!

random231 (random231):

okay so now make this first derivative equals to 0, and find out the possible values of x.

OpenStudy (anonymous):

I want critical points

OpenStudy (anonymous):

first hwo to simplify this function ?

OpenStudy (anonymous):

how*

OpenStudy (ranga):

numerator is: 2x.x^3 - (x^2 - 1)3x^2 (It is 3x^2 and NOT 3x^3) 2x^4 - 3x^4 + 3x^2 -x^4 + 3x^2 x^2(-x^2 + 3) To find critical point, equate dy/dx to zero and solve for x. Equate numerator to zero and solve for x.

OpenStudy (anonymous):

I don't understand .. can you draw ?

random231 (random231):

oo i misd that mistake sorry!!

random231 (random231):

yup ur derivative is wrong!

random231 (random231):

|dw:1396116881923:dw|

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