Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which one of the following gives the derivative of the product
f
(
x
)
g
(
x
)
f(x)\,g(x)
f
(
x
)
g
(
x
)
of two differentiable functions
f
f
f
and
g
g
g
? a)
f
′
(
x
)
+
g
′
(
x
)
f'(x)+g'(x)
f
′
(
x
)
+
g
′
(
x
)
b)
f
′
(
x
)
g
(
x
)
+
f
(
x
)
g
′
(
x
)
f'(x)g(x)+f(x)g'(x)
f
′
(
x
)
g
(
x
)
+
f
(
x
)
g
′
(
x
)
c)
f
′
(
x
)
g
′
(
x
)
f'(x)g'(x)
f
′
(
x
)
g
′
(
x
)
d)
f
′
(
x
)
g
(
x
)
f'(x)g(x)
f
′
(
x
)
g
(
x
)
Browse the problem library