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Mathematics
Mathematics
Problem
Find the derivative of the function
f
(
x
)
=
x
2
+
5
x
−
1
+
x
sin
x
.
f(x)=\dfrac{x^{2}+5}{x-1}+x\sin x.
f
(
x
)
=
x
−
1
x
2
+
5
+
x
sin
x
.
Hence calculate the numerical values of
f
′
(
0
)
f'(0)
f
′
(
0
)
and
f
′
(
1
)
f'(1)
f
′
(
1
)
.
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