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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
3
x
4
−
4
x
3
+
2
x
−
5
f(x)=3x^{4}-4x^{3}+2x-5
f
(
x
)
=
3
x
4
−
4
x
3
+
2
x
−
5
. (i) Find
f
′
(
x
)
f'(x)
f
′
(
x
)
. (ii) Determine the slope of the tangent to the curve
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at the point where
x
=
2
x=2
x
=
2
. (iii) Hence obtain the equations of the tangent and the normal to the curve at that point.
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