1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Solving Simultaneous Trigonometric Equations
The graph of ...
Question
The graph of the hyperbolic sine function for all real values is:
A
Strictly increasing
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Strictly decreasing
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Neither increasing nor decreasing
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Depends on the choice of interval
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
Strictly increasing
The graph of
sinh
x
will be
∵
sinh
x
=
e
x
−
e
−
x
2
f
′
(
x
)
=
e
x
+
e
−
x
2
(
differentiate w.r.t
x
)
f
′
(
x
)
is always greater than
0
,
and
f
(
x
2
)
>
f
(
x
1
)
, when
x
2
>
x
1
Hence
sinh
x
is always increasing function .
Suggest Corrections
0
Similar questions
Q.
The graph of the hyperbolic cosine function for all real values is:
Q.
The graph of the hyperbolic tangent function for all real values is:
Q.
If f(x) can be written as
f
(
x
)
=
∫
x
−
1
1
e
y
2
d
y
then which of the following is true about f(x)?
Q.
The set of values of 'a' for which the function f(x) = ax + b is strictly increasing for all real x, is _______________.
Q.
The function
f
(
x
)
=
a
x
+
b
is strictly increasing for all real
x
, if
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Solving Trigonometric Equations
MATHEMATICS
Watch in App
Explore more
Solving Simultaneous Trigonometric Equations
Standard XI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app