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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
x
3
+
3
x
2
−
6
x
+
sin
x
f(x)=x^3+3x^2-6x+\sin x
f
(
x
)
=
x
3
+
3
x
2
−
6
x
+
sin
x
: a. (i) Find
f
′
(
x
)
f'(x)
f
′
(
x
)
.},{ b. (ii) Hence, obtain the equation of the tangent to the curve at the point where
x
=
0
x=0
x
=
0
.}
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