Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

Franchisee/Partner Enquiry (South)

Franchisee/Partner Enquiry (North, West & East)

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9372462318 / 9987178554

Mon to Sat - 10 AM to 7 PM

The maximum & minimum values of the function y=x^3-3x^2+6

1)2,0     2)6,0     3)6,2     4)4,2

Asked by anam.asfia99 25th October 2018, 5:24 PM
Answered by Expert
Answer:
y equals x cubed minus 3 x squared plus 6
d i f f e r e n t i a t e space w. r. t space x
fraction numerator d y over denominator d x end fraction equals 3 x squared minus 6 x

n o w space e q u a t e space fraction numerator d y over denominator d x end fraction equals 0
h e n c e space 3 x squared minus 6 x equals 0
3 x left parenthesis x minus 2 right parenthesis equals 0
x equals 0 space o r space x equals 2

fraction numerator d y over denominator d x end fraction equals 3 x squared minus 6 x
a g a i n space d i f f e r e n t i a t e space w. r. t space x space w e space g e t
fraction numerator d squared y over denominator d x squared end fraction equals 6 x minus 6
n o w space a t space 0 comma space space fraction numerator d squared y over denominator d x squared end fraction less than 0 space a n d space a t space 2 space fraction numerator d squared y over denominator d x squared end fraction greater than 0
h e n c e space f u n c t i o n space i s space m a x i m u m space a t space 0 space a n d space m i n i m u m space a t space 2
i f space w e space s u b s t i t u t e space 0 space a n d space 2 space i n space y equals x cubed minus 3 x squared plus 6
w e space g e t space 6 space a n d space 2
h e n c e space m a x i m u m space v a l u e space i s space 6 space a n d space m i n i m u m space v a l u e space i s space 2
A n w e r space i s space O P T I O N space C
Answered by Expert 29th October 2018, 4:22 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Tags: derivative
Your answer has been posted successfully!

Chat with us on WhatsApp