Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
3
+
3
x
2
+
4
x
+
a
sin
x
+
b
cos
x
,
∀
x
∈
R
f(x) = x^3 + 3x^2 + 4x + a \sin x + b \cos x, \forall x \in R
f
(
x
)
=
x
3
+
3
x
2
+
4
x
+
a
sin
x
+
b
cos
x
,
∀
x
∈
R
is a one-one function, then the greatest value of
(
a
2
+
b
2
)
(a^2 + b^2)
(
a
2
+
b
2
)
is a. 1 b. 2 c.
2
\sqrt{2}
2
d. None of these
Browse the problem library