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Recent questions tagged monotonocity
+3
votes
1
answer
Find the interval of the monotonicity of the function f(x) = 5 + 36x + 3x^2 – 2x^3.
asked
Apr 6, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+3
votes
1
answer
f(x) be a differentiable function such that f'(x) = log1/3(log3(sinx + a)). If f(x) is decreasing for all real values of x, find a.
asked
Apr 5, 2019
in
JEE
by
kratos
jee mains
jee
monotonocity
jee main
+2
votes
1
answer
Find the number of solutions of the equation x^3 + 2x^2 + 5x + 2cos x = 0 in [0, 2π]
asked
Apr 4, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+1
vote
1
answer
Find the interval for which the function f (x) = e ^– ax + e^ax, a > 0 is monotonically decreasing.
asked
Apr 3, 2019
in
JEE
by
kratos
jee mains
jee
monotonocity
jee main
+3
votes
1
answer
If f(x) = x^3 + bx^2 + cx + d and 0 < b^2 < C, then in (-∞, ∞)
asked
Apr 3, 2019
in
JEE
by
kratos
the maxima and minima
monotonocity
limits
class-11
jee
class-10
jee mains
jee main
polynomials
+3
votes
1
answer
Find the critical points of f(x) = e^x/(x – 1)
asked
Mar 31, 2019
in
JEE
by
kratos
jee mains
jee
monotonocity
jee main
+3
votes
1
answer
If P(1) = 0 and dP(x)/dx > P(x) for all x ≥ 1, then prove that P(x) > 0 for all x > 1.
asked
Mar 30, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+3
votes
1
answer
Let f and g be increasing and decreasing functions respectively from [0, ∞) to [0, ∞). Let h (x) = f(g(x)).
asked
Mar 28, 2019
in
JEE
by
kratos
monotonocity
differential calculus
class-11
jee
jee main
+3
votes
1
answer
The function f(x) = (ln(x + π))/(ln(x + e)) is (a) increasing on [0, ∞) (b) decreasing on [0, ∞)
asked
Mar 26, 2019
in
JEE
by
kratos
jee mains
jee
monotonocity
jee main
+2
votes
1
answer
Find the domain of the function f(x) = log2(log3(log4/π(tan^–1x)^ –1))
asked
Mar 26, 2019
in
JEE
by
kratos
monotonocity
class-11
jee
function
matrices
class-10
determinants
domain and range of a function
jee mains
jee main
class-12
+1
vote
1
answer
Let the function g : (-∞, ∞) → (- π/2, π/2) be given by g(u) = 2tan^-1(e^u) - π/2. Then, g is
asked
Mar 24, 2019
in
JEE
by
kratos
applications of derivatives
monotonocity
jee
jee mains
jee main
+1
vote
1
answer
Using the relation 2 (1 - cos x) < x^2 , x ≠ 0 or otherwise, prove that sin (tan x) ≥ x, ∀ x ∈ [0, pi/4]
asked
Mar 21, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+1
vote
1
answer
The function f is defined by f(x) = (x + 2)e^–x is (a) decreasing for all x (b) decreasing in (– ∞, – 1) and increasing in (– 1, ∞)
asked
Mar 20, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+1
vote
1
answer
Find the interval of the monotonicity of the function f(x) = x/logx.
asked
Mar 16, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+3
votes
1
answer
The set of all x for which log(1 + x) ≤ x is equal to........
asked
Mar 8, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+1
vote
1
answer
Find the interval of the monotonicity of the function f(x) = 2x^3 – 12x^2 + 18x + 5.
asked
Mar 8, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+2
votes
1
answer
If y = f(x) = (ae^x + be^– x)/(ce^x + de^–x) is an increasing function of x, then find a relation in a, b, c and d.
asked
Mar 7, 2019
in
JEE
by
kratos
jee
monotonocity
jee main
+1
vote
1
answer
Show that 1 + x log(x + √(x^2 + 1)) ≥ √(1 + x^2) for all x ≥ 0
asked
Mar 1, 2019
in
JEE
by
kratos
jee main
jee
monotonocity
jee mains
+3
votes
1
answer
the domain of the function f(x) = 3√1 - 3x + 3 cos-1 (2x-1/3) + e^3tanx is
asked
Feb 27, 2019
in
JEE
by
kratos
monotonocity
class-11
jee
differential equations
jee mains
jee main
class-12
trigonometric functions
+3
votes
1
answer
If at least one root of the equation x^2 – 2ax + a^2 – 1 = 0 is positive, then
asked
Feb 24, 2019
in
JEE
by
kratos
monotonocity
jee
quadratic equations
class-9
jee mains
jee main
complex number
class-12
complex numbers
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