Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let be defined for by
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Let
g
g
g
be defined for
x
≥
−
1
x\ge -1
x
≥
−
1
by
g
(
x
)
=
∫
−
1
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{-1}^{x} f(t)\,dt
g
(
x
)
=
∫
−
1
x
f
(
t
)
d
t
, where
f
f
f
is continuous. Which of the following equals
g
′
(
2
)
g'(2)
g
′
(
2
)
? (a)
∫
−
1
2
f
′
(
t
)
d
t
\displaystyle\int_{-1}^{2} f'(t)\,dt
∫
−
1
2
f
′
(
t
)
d
t
(b)
f
′
(
2
)
f'(2)
f
′
(
2
)
(c)
f
(
2
)
f(2)
f
(
2
)
(d)
g
(
2
)
g(2)
g
(
2
)
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Integrals
Browse the problem library