Q. 64.5( 22 Votes )

# Find the interval

Answer :

(i) It is given that f(x) =        Now, if f’(x) =0

cos x = 0 or cosx = 4

But, cosx = 4 is not possible

Therefore, cosx =0

x = Now, x = divides (0,2π) into three disjoints intervals In the intervals and , f’(x)>0

Therefore, f(x) is increasing for 0< x < and < x < 2π.

In interval , f’(x)<0

Therefore, f(x) is decreasing for < x < .

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 view all courses RELATED QUESTIONS :

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Show that the altMathematics - Board Papers

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1