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Recent questions tagged increasing and decreasing functions
+1
vote
1
answer
If m is the minimum value of k for which the function f(x) = x√ (kx - x^2) is increasing in the interval
asked
Mar 11, 2019
in
JEE
by
kratos
applications of derivatives
jee
increasing and decreasing functions
jee mains 2019
jee mains
class-12
+2
votes
1
answer
The function which is neither decreasing nor increasing in (π/2, 3π/2) (A) cosec x
asked
Feb 27, 2019
in
JEE
by
kratos
applications of derivatives
cbse
decreasing functions
jee
increasing and decreasing functions
increasing functions
jee mains
class-12
+2
votes
1
answer
If f(x) = 27x^3 and g(x) = x^1/3 , find gof(x).
asked
Feb 14, 2019
in
Class 12
by
kratos
cbse
class-11
relations and functions
increasing and decreasing functions
functions
class-12
+1
vote
1
answer
Find the intervals in which the functions are increasing or decreasing. f(x) = x^3 – 6x^2 – 36x + 2
asked
Feb 7, 2019
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
Show that f(x) = log sin x is increasing on (0, π/2) and decreasing on (π/2, π).
asked
Jan 24, 2019
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
Show that f(x) = (x – 1)e^x + 1 is an increasing function for all x > 0.
asked
Jan 22, 2019
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
Find the intervals in which the function f(x) = x^4/4 - x^3 - 5x^2 +24x +12 is (a) strictly increasing, (b) strictly decreasing.
asked
Jan 19, 2019
in
Class 12
by
kratos
application of derivatives
increasing and decreasing functions
class-12
cbse
+2
votes
1
answer
If f is twice differentiable such that f(x) = –f(x) and f'(x)
asked
Jan 10, 2019
in
JEE
by
kratos
jee main 2021
jee
increasing and decreasing functions
jee main
jee mains
limit
class-12
differentiability
continuity
resonance
+1
vote
1
answer
Show that the function f(x) = sin(2x + π/4) is decreasing on (3π/8, 5π/8).
asked
Jan 7, 2019
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+3
votes
1
answer
Function f(x) = e^2x – (a + 1) e^x + 2x is monotonically increasing for all x ∈ R, if a belongs to
asked
Jan 3, 2019
in
JEE
by
kratos
monotonocity
jee
increasing and decreasing functions
jee main
class-12
+2
votes
1
answer
If f(x) = kx^3 - 9x^2 + 9x + 3 is monotonically increasing in each interval, then
asked
Dec 28, 2018
in
JEE
by
kratos
applications of derivatives
jee
increasing and decreasing functions
jee mains
class-12
+2
votes
1
answer
Show that f(x) = x^9 + 4x^7 + 11 is an increasing function for all x ϵ R.
asked
Dec 24, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
Show that f(x) = sin x is increasing on (0, π/2) and decreasing on (π/2, π) and neither increasing nor decreasing in (0, π).
asked
Dec 24, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+3
votes
1
answer
Show that f (x) = e^(1/x) , x ≠ 0 is a decreasing function for all x ≠ 0.
asked
Dec 23, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
Prove that f(x) = ax + b, where a, b are constants and a < 0 is a decreasing function on R.
asked
Dec 19, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+3
votes
1
answer
Show that f(x) = tan^–1(sin x + cos x) is a decreasing function on the interval (π/4, π /2).
asked
Nov 26, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+2
votes
1
answer
If f'(x) = (x – 1) (x – 2) (x – 3) then f(x) in monotonically increasing in (a) x < 1 (b) x > 3, x < 1 (c) x > 3, 1 < x < 2 (d) x < 1, 2 < x < 3
asked
Nov 22, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+3
votes
1
answer
Show that f(x) = e^2x is increasing on R.
asked
Nov 20, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+1
vote
1
answer
The interval in which f(x) = (x + 1)^3 (x – 3)^3 is increasing
asked
Nov 16, 2018
in
Class 12
by
kratos
class-12
increasing and decreasing functions
+3
votes
1
answer
Find the intervals in which the function f (x) = x^4/4 -x^3 -5x^2 + 24x +12 is (a) strictly increasing, (b) strictly decreasing.
asked
Nov 11, 2018
in
Class 12
by
kratos
application of derivatives
increasing and decreasing functions
class-12
cbse
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