Let \( f(x)=x e^{x(1+a x)} \) then \( f(x) \) is
(a) Increasing for \( a1 / 8 \)
(b) Decreasing ...
Let \( f(x)=x e^{x(1+a x)} \) then \( f(x) \) is
(a) Increasing for \( a1 / 8 \)
(b) Decreasing for \( a1 / 8 \)
(c) Increasing for \( a0 \)
(d) Decreasing for \( a0 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-08 | Comprehension:
: Let \( y=f(x) \) satisfies a relation \( x y=x+y+1, x \in R-\{1\} \) and \( g(x... |
| 2023-06-08 | The points on the curve \( 5 x^{2}-8 x y+5 y^{2}=4 \) whose distance from the origin is maximum ... |
| 2023-06-08 | Let \( h(x)=f(x)-\{f(x)\}^{2}+\{f(x)\}^{3} \) for all real values of \( x \). Then This question... |
| 2023-06-08 | Identify the correct statement:
(a) A line meeting the curve only at one point is a tangent to t... |
| 2023-06-08 | \( f(x) \) is a twice differentiable function and \( g(x) \) is defined as \( \mathrm{g}(x)=\lef... |
| 2023-06-08 | Themass of a cell culture at time \( t \) is given by, \( M(t)=\frac{3}{1+4 e^{-1}} \)
(a) Find ... |
| 2023-06-08 | Number of non-similar isosceles triangles \( A B C \) such that tan \( A+\tan B+\tan C=100 \).
(... |
| 2023-06-08 | Match the following: For the functions \( f(x)=x^{4}(12 \operatorname{In} x-7) \) :
\begin{tabul... |
| 2023-06-08 | Range of \( f(x)=\ln \left(2 \sin x+\tan x-\frac{3 x}{\pi}+1\right), \forall x \in\left[\frac{\p... |
| 2023-06-08 | \[
f(x)=\int_{2}^{e^{x}}\left(9 \cos ^{2}(2 \ln t)-25 \cos (2 \ln t)+17\right) d t
\]
is an incr... |
| 2023-06-08 | Let \( f(x)=x e^{x(1+a x)} \) then \( f(x) \) is
(a) Increasing for \( a1 / 8 \)
(b) Decreasing ... |
| 2023-06-08 | Consider a real triplet \( \left(x_{1}, x_{2}, x_{3}\right) \) satisfying \( \left(2^{2 x_{1}}+1... |
| 2023-06-08 | For the function \( f(x)=|x|+|x+1|+|x-2|-|| x|+| x+1|-| x \) \( -2 \| \), the total number of in... |
| 2023-06-08 | If for possible values of \( p \) such that the equation \( p x^{2}=\ln x \) has exactly one sol... |
| 2023-06-08 | Find all the values of the parameter \( a \) for which the function; \( f(x)=8 a x-a \sin 6 x-... |
| 2023-06-08 | In any \( \triangle \mathrm{ABC} \) prove that \( \sin \mathrm{A}+\sin \mathrm{B}+\sin \mathrm{C... |
| 2023-06-08 | Let \( f \) be continuous on \( [a, b], a0 \), and differentiable on \( (a, b) \). Prove that th... |
| 2023-06-08 | If \( \forall h \in R-\{0\} \), two distinct tangents can be drawn from the points \( (2+h, 3 h-... |
| 2023-06-08 | Match the columns
Here [·] denotes greatest integer function
\begin{tabular}{|l|l|c|l|}
\hline \... |
| 2023-06-08 | A particle moves in a straight line with position relative to some origin \( \mathrm{O} \) given... |
| 2023-06-08 | Let \( f(x)=\frac{(x-1)^{2} \cdot e^{x}}{\left(1+x^{2}\right)^{2}} \), then which of the followi... |
0