Skip to content
Philoid
Browse Saved
Back to chapter
Maths
17. Increasing and Decreasing Functions
Home · Class 12 · Maths · Ref. Book · 17. Increasing and Decreasing Functions
Prev
Next
Q5 of 105 Page 17

Mark the correct alternative in the following:

If the function f(x) = 2x2 – kx + 5 is increasing on [1, 2], then k lies in the interval.


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


f(x) = 2x2 – kx + 5



f’(x)>0


4x-k>0


K<4x


For x=1


K<4

More from this chapter

All 105 →
3

Mark the correct alternative in the following:

The function f(x) = xx decreases on the interval.


4

Mark the correct alternative in the following:

The function f(x) = 2log(x – 2) – x2 + 4x + 1 increases on the interval.


6

Mark the correct alternative in the following:

Let f(x) = x3 + ax2 + bx + 5 sin2x be an increasing function on the set R. Then, a and b satisfy.


7

Mark the correct alternative in the following:

The function is of the following types:


Questions · 105
17. Increasing and Decreasing Functions
1 2 3 4 5 6 7 8 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved