The interval in which y=x^2""e^(-x) is ...

The interval in which `y=x^2""e^(-x)` is increasing is (A) `(-oo,""""oo)` (B) ( 2, 0) (C) `(2,""""oo)` (D) (0, 2)

A

`(-oo, oo)`

B

`(-2, 0)`

C

`(2, oo)`

D

`(0, 2)`

Text Solution

Verified by Experts

The correct Answer is:

d

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos
APPLICATIONS OF DERIVATIVES
MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos
APPLICATIONS OF DERIVATIVES
MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The interval in which y=x^(2)backslash e^(-x) is increasing is (A)(-oo,oo)(B)(2,0)(C)(2,oo)(D)(0,2)

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

Find the intervals in which the function f given by f(x) = x^2 - 4x + 6 is strictly increasing: a)(-oo,2) uu (2,oo) b) (2,oo) c) (-oo,2) d) (-oo,2] uu (2,oo)

The function f(x)=x^(9)+3x^(7)+64 is increasing on (a) R(b)(-oo,0)(c)(0,oo) (d) R_(0)

The function f(x)=log x-(2x)/(x+2) is increasing for all A) x in(-oo,0) , B) x in(-oo,1) C) x in(-1,oo) D) x in(0,oo)

The interval in which the function y=x^(3) increases more rapid ,than the function y=6x^(2)+15x+5 (A) (-oo,-1) (B) (5,oo) (C) (-1,5) (D) (0,oo)

If f(x)=x^(2)+x+(3)/(4) and g(x)=x^(2)+ax+1 be two real functions, then the range of a for which g(f(x))=0 has no real solution is (A) (-oo,-2)(B)(-2,2)(C)(-2,oo)(D)(2,oo)

x^2/(p^2 - P-6) + y^2/(P^2 - 6P + 5) = 1 will represent the ellipse if P lies in the interval (A) (-oo, -2) (B) (1, oo) (C) (3, oo) (D) (5, oo)

f(x) = x^2 increases on: (a) ( 0,oo) (b) (-oo,0) (c) (-7,-3) (d) (-oo,-3)

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (A. Multiple Choice Questions)

The rate of change of the area of a circle with respect to its radius ...
Text Solution
|
The total revenue in Rupees received from the sale of x units of a pr...
Text Solution
|
The interval in which y=x^2""e^(-x) is increasing is (A) (-oo,""""o...
Text Solution
|
Find the slopes of the tangent and the normal to the curve y=2x^2+3...
Text Solution
|
The line y=x+1 is a tangent to the curve y^(2)=4x at the point:
Text Solution
|
If f(x) = 3x^(2) + 15x+5, then the approximate value of f(3.02) is :
Text Solution
|
The approximate change in the volume of a cube of side x metres cause...
Text Solution
|
The point on the curve x^2=2ywhich is nearest to the point (0, 5) is(A...
Text Solution
|
For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2)is(...
Text Solution
|
The maximum value of [x(x-1)+1]^(1//3).0lexle1 is
Text Solution
|
A cylindrical tank of radius 10 m is being filled with wheat at the r...
Text Solution
|
The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...
Text Solution
|
The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...
Text Solution
|
The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...
Text Solution
|
Find the equation of the normal to curve x^2=4ywhich passes through t...
Text Solution
|
The points on the curve 9y^2=x^3, where the normal to the curve makes ...
Text Solution
|
The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...
Text Solution
|
The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0
Text Solution
|
If the parametric of a curve given by x=e^(t)cos t, y=et sin t, then t...
Text Solution
|
The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b...
Text Solution
|