>
Exams
>
Mathematics
>
types of functions
>
if f x x e x 1 x then f x is
Question:
If
\(f(x) = x e^{x(1-x)}\)
then f(x) is
KCET
Updated On:
Apr 26, 2024
Increasing in R
Decreasing in R
Decreasing in
\([-\frac{1}{2},1]\)
Increasing in
\([-\frac{1}{2},1]\)
Hide Solution
Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
The correct answer is Option (D) : Increasing in
\([-\frac{1}{2},1]\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on types of functions
Let
\(A :\{1,2,3,4,5,6,7\}\)
. Define
\(B=\{T \subseteq A\)
: either
\(1 \notin T\)
or
\(2 \in T \}\)
and
\(C = \{T _{\subseteq} A : T\)
the sum of all the elements of
\(T\)
is a prime number
\(\}\)
. Then the number of elements in the set
\(B \cup C\)
is _______ .
JEE Main - 2023
Mathematics
types of functions
View Solution
The number of bijective functions $f :\{1,3,5$, $7, \ldots \ldots 99\} \rightarrow\{2,4,6,8, \ldots \ldots , 100\}$, such that $f (3) \geq f (9) \geq f (15) \geq f (21) \geq \ldots f (99), $ is _____
JEE Main - 2023
Mathematics
types of functions
View Solution
To define the limit of axes of a chart, which function can be used ?
CUET (UG) - 2023
Informatics Practices
types of functions
View Solution
Which of the following function will display the average of each row of a dataframe named df?
CUET (UG) - 2023
Informatics Practices
types of functions
View Solution
Choose the correct statement to display the median using quantile function if the name of the Dataframe is df:
CUET (UG) - 2023
Informatics Practices
types of functions
View Solution
View More Questions
Questions Asked in KCET exam
The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is v
rms
. The ratio of the velocities v and v
rms
for helium and oxygen gases are X and X' respectively. Then
\(\frac{X}{X'}\)
is equal to
KCET - 2023
Thermodynamics
View Solution
If
\(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\)
are in A.P., then p, q, r
KCET - 2023
Arithmetic Progression
View Solution
A stretched wire of a material whose Young's modulus Y = 2 × 10
11
Nm
-2
has Poisson's ratio of 0.25. Its lateral strain ε
l
= 10
-3
. The elastic energy density of the wire is
KCET - 2023
mechanical properties of solids
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is
KCET - 2023
Quantum Physics
View Solution
View More Questions