RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 12 of MCQ

Listen NCERT Audio Books to boost your productivity and retention power by 2X.


Mark the correct alternative in the following:

Function f(x) = cosx – 2λ x is monotonic decreasing when

Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly decreasing on (a,b) is that f’(x)<0 for all x(a,b)


f(x) = cosx – 2λ x

=-sinx-2λ =f’(x)

for decreasing function f’(x)<0

-sinx-2λ <0

Sinx+2λ >0



Chapter Exercises

More Exercise Questions