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Putnam
Putnam 1939
A2
A2
Part of
Putnam 1939
Problems
(1)
Putnam 1939 A2
Source:
8/20/2021
Let
C
C
C
be the curve
y
=
x
3
y = x^3
y
=
x
3
(where
x
x
x
takes all real values). The tangent at
A
A
A
meets the curve again at
B
.
B.
B
.
Prove that the gradient at
B
B
B
is
4
4
4
times the gradient at
A
.
A.
A
.
Putnam