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Problem
Problem
Given that
y
=
k
x
4
−
2
x
3
+
7
k
x
2
−
4
x
+
k
y = kx^4 - 2x^3 + 7kx^2 - 4x + k
y
=
k
x
4
−
2
x
3
+
7
k
x
2
−
4
x
+
k
has a stationary point when
x
=
2
x = 2
x
=
2
. Determine the value of
d
2
y
d
x
2
\frac{d^2y}{dx^2}
d
x
2
d
2
y
at this point. Give your answer as an improper fraction in its simplest form.
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