Consider the curve created by
(a) Show that
(b) Calculate the slope of the line perpendicular to the curve at each location where x is. .
(c) A vertical tangent line to the curve exists at a positive value of x.
Part C : value of x at which the curve has a vertical tangent line
The vertical tangent to a curve occurs at a point where slope is undefined or infinite.
This is nothing but the points where derivative of function is not defined.
we know the derivative of function is,
that is 3y − 2x = 0
3y = 2x
substitute this in equation of curve,
therefore vertical tangent to the curve occurs at points x = +7.348 and x = - 7.348
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