Q. 1 B4.3( 4 Votes )

Find the points o

Answer :

f(x) = x3 – 6x2 + 9x + 15


f'(x) = 3x2 – 12x + 9 = 3(x2 – 4x + 3)


f''(x) = 6x – 12 = 6(x – 2)


for maxima and minima,


f'(x) = 0


3(x2 – 4x + 3) = 0


So roots will be x = 3, 1


Now,


f''(3) = 6 > 0


x = 3 is point of local minima


f''(1) = – 6 < 0


x = 1 is point of local maxima


local max value = f(1) = 19


local min value = f(3) = 15


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers