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Problem
Problem
Let
C
C
C
be the curve
y
=
x
3
y = x^3
y
=
x
3
(where
x
x
x
assumes all real values). The tangent at
A
A
A
meets the curve again at
B
B
B
. If the gradient at
B
B
B
is
k
k
k
times the gradient at
A
A
A
, then
k
k
k
is equal to .....
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