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4
2007 Calculus #4: Tangent Parabola and Exponential Curves
2007 Calculus #4: Tangent Parabola and Exponential Curves
Source:
June 21, 2012
calculus
conics
parabola
function
Problem Statement
Find the real number
α
\alpha
α
such that the curve
f
(
x
)
=
e
x
f(x)=e^x
f
(
x
)
=
e
x
is tangent to the curve
g
(
x
)
=
α
x
2
g(x)=\alpha x^2
g
(
x
)
=
α
x
2
.
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