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Mathematics
Mathematics
Problem
Which of the following is the derivative of
f
(
x
)
=
sin
x
x
f(x)=\dfrac{\sin x}{x}
f
(
x
)
=
x
sin
x
for
x
≠
0
x\neq 0
x
=
0
? a)
x
cos
x
+
sin
x
x
2
\dfrac{x\cos x+\sin x}{x^{2}}
x
2
x
cos
x
+
sin
x
b)
x
cos
x
−
sin
x
x
2
\dfrac{x\cos x-\sin x}{x^{2}}
x
2
x
cos
x
−
sin
x
c)
x
cos
x
−
sin
x
x
\dfrac{x\cos x-\sin x}{x}
x
x
cos
x
−
sin
x
d)
cos
x
x
\dfrac{\cos x}{x}
x
cos
x
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