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
Q26 of 105 Page 17

Find the interval in which is increasing or decreasing ?

we have





Critical points




⇒x = 0, –1


Clearly,f'(x) > 0 if x>0


And f'(x) < 0 if –1 < x < 0 or x < –1


Hence, f(x) increases in (0,), decreases in (–, –1) U (–1, 0)


More from this chapter

All 105 →
24

Show that f(x) = tan–1 x – x is a decreasing function on R ?

25

Determine whether f(x) = x/2 + sin x is increasing or decreasing on (–π /3, π/3) ?

27

Find the intervals in which f(x) = (x + 2)e–x is increasing or decreasing ?

28

Show that the function f given by f(x) = 10x is increasing for all x ?

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