Home
Video Series
Fast Math Tricks
Quantitative Aptitude
Class 8 Maths Videos
Class 9 Maths Videos
Class 10 Maths Videos
Reasoning Videos
Blog
Store
Register /Login
Home
Topic
12th Grade
Mathematics
Application Of Derivatives
Question
f
(
x
)
Â
=
Â
x
2
Â
−
Â
4
|
x
|
Â
a
n
d
Â
g
(
x
)
Â
=
Â
{
m
i
n
{
f
(
t
)
Â
:
Â
−
6
Â
≤
Â
t
Â
≤
Â
x
}
,
Â
Â
Â
x
Â
ϵ
Â
[
−
6
,
Â
0
]
m
a
x
{
f
(
t
)
Â
:
Â
0
Â
≤
Â
t
Â
≤
Â
x
}
,
Â
Â
Â
x
Â
ϵ
Â
[
0
,
Â
6
]
,
Â
t
h
a
n
Â
g
(
x
)
Options:
A
.
 Exactly one point of local minima
B
.
 Exactly one point of local maxima
C
.
 No point of local maxima but exactly one point of local minima
D
.
 Neither a point of local maxima nor minima
Answer: Option D
:
D
Bold line represents the graph of y = g(x) clearly g(x) has neither a point of local maxima nor a point of local minima.
Was this answer helpful ?
0 Likes
Next Question
Report Problem
Share
Submit Solution
Your email address will not be published.
Required fields are marked
*
More Questions on This Topic :
Question 1.
F(x) = x2 − 4|x| and g(x) = {min1f(t) : −6 ≤ t ≤ x},   x ϵ [−6, 0]max1f(t) : 0 ≤ tÂ....f(x) = x2 − 4|x| and g(x) = {min1f(t) : −6 ≤ t ≤ x},   x ϵ [−6, 0]max1f(t) : 0 ≤ t ≤ x},   x ϵ [0, 6], than g(x)
Question 2.
F(x) = xloge x, x ≠ 1, is decreasing in interval....
Question 3.
Number of possible tangents to the curve y=cos(x+y),−3π≤x≤3π that are parall....y=cos(x+y),−3π≤x≤3π that are parallel to the line x+2y = 0, is
Question 4.
The tangent to the curve x = a√cos2θcosθ,y=a√cos2θsinθ at the point correspo....x = a√cos2θcosθ,y=a√cos2θsinθ at the point corresponding to θ=π6 is
Question 5.
If f"(x) > 0 ∀ x ϵ R then for any two real numbers x1 and x....If f"(x) > 0 ∀ x ϵ R then for any two real numbers x1 and x2 , (x1 ≠ x2)
Question 6.
The distance moved by the particle in time t is given by x=t3−12t2+6t+8. At the instant when its acceleration is ....instant when its acceleration is zero, then the velocity is
Question 7.
Let S be the set of real values of parameter λ for which the equation f(x) = 2x3 − ....exactly one local minimum. Then S is a subset of
Question 8.
For what values of x is the rate of increase of x3−5x2+5x+8 is twice rate of increase of x ?....
Question 9.
The value of m for which the area of the triangle included between the axes  and any tangent to the curve xm y=bm i....axes  and any tangent to the curve xm y=bm is constant is
Question 10.
If a + b +c = 0, then the equation 3ax2+2bx+c=0 has, in the interval (0, 1)....
Latest Videos
Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY
Part 1 : (13-04-2024)
INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test
Part 1
Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP
Part 1 : (14-02-2024)
GPOE
Cube & Cuboid
Part 1
Reasoning (Hindi)
Data Interpretation (DI)
Basic Concept
Reasoning (Hindi)
Counting Figures Part 1
Counting Of Straight Lines
Reasoning (Hindi)
Sail E0 free webinar
Webinars
Real Numbers
Part 7
Class 10 Maths
Real Numbers
Part 1
Class 10 Maths
Polynomials
Part 1
Class 10 Maths
Latest Test Papers
Chapter 3.1 : INTRODUCTION
Chapter 3 : Sinter Plant
SAIL E0 - GPOE/GPA 2024
Chapter 2.3 : COAL HANDLING PLANT - Set 1
Chapter 2 : Coke Ovens and Coal Chemicals
SAIL E0 - GPOE/GPA 2024
Chapter 1.1 : INTRODUCTION
Chapter 1 : Raw Material Handling Plant
SAIL E0 - GPOE/GPA 2024
GPOE / GPA Combined 1
Free Revision Test
SAIL JO E-0
DSP Combined 1
Free Revision Test
SAIL JO E-0
One click Login
Login With Google
Old way of Login
Login With Email
Submit Problem
Problem Type (Required)
Choose Problem Type
Incorrect Topic
Incomplete Question
Wrong Question
Wrong Solution
Wrong Option
Explaination : Please write a little about the issue
Submit Solution