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Mathematics
Mathematics
Problem
Which of the following gives the derivative of the product
u
(
x
)
v
(
x
)
u(x)v(x)
u
(
x
)
v
(
x
)
of two differentiable functions? a)
u
′
(
x
)
v
′
(
x
)
u'(x)v'(x)
u
′
(
x
)
v
′
(
x
)
b)
u
(
x
)
v
′
(
x
)
u(x)v'(x)
u
(
x
)
v
′
(
x
)
c)
u
′
(
x
)
v
(
x
)
+
u
(
x
)
v
′
(
x
)
u'(x)v(x)+u(x)v'(x)
u
′
(
x
)
v
(
x
)
+
u
(
x
)
v
′
(
x
)
d)
u
′
(
x
)
v
(
x
)
−
u
(
x
)
v
′
(
x
)
u'(x)v(x)-u(x)v'(x)
u
′
(
x
)
v
(
x
)
−
u
(
x
)
v
′
(
x
)
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