To show : Using the chain rule, to explain one way to find locations where the tangent line to the curve is horizontal.
Explanation of Solution
Given information :
The given equations:
Where
Formula used:
The plane curve defined by the parametric equations
Also suppose that
Proof:
This can be proven by using chain rule. Assume that the parameter
Then,
Differentiating using Chain Rule, then rearranging:
Where,
To find the points at which the tangent line is vertical.
One way to find that where the value of denominator is zero. Corresponds to that, the points can be find out.
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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