Please help with calculus question!

Calculus
Tutor: None Selected Time limit: 1 Day

For f (x ) = x^3-9x^2, use calculus to determine the location of:
a. Any maximum or minimum points (tell which are max and which are min)

b. Any inflection points

Jul 20th, 2015

Thank you for the opportunity to help you with your question!

a )  f (x ) = x^3-9x^2

    f'(x) = 3x ^2 - 18x =0

   x= 0   or x = 6

  at x = 0, 

 f (x ) = 0

at x = 6 ,

f(x) = -108 


so maximum of f (x ) = x^3- 9x^2 = 0        at x=0.................................ANSWER

    minimum  of f (x ) = x^3- 9x^2 =  -108    at x = 6.......................................ANSWER


b)  f'(x) = 3x ^2 - 18x

     f''(x)=  6x - 18

6x - 18 = 0

x = 3

inflection point is at x= 3.............................................ANSWER



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 20th, 2015

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