Advanced Placement (AP), 12.04.2021 08:30, Goldenstate32
Consider the curve defined by x^2=e^x-y for x>0. At what value of x does the curve have a horizontal tangent?
Answers: 2
, the curve have a horizontal tangent. 
for 
. By Differential Calculus we know that a curve of the form 
if and only if 
. Since the expression defined above is an implicit function, we need to apply implicit differentiation and clear the symbol for the first derivative, that is:
(1)
so that the curve have a horizontal tangent is:
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Consider the curve defined by x^2=e^x-y for x>0. At what value of x does the curve have a horizon...
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