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 horizontal.
One way to find where the slope of the function is
This can be used to calculate derivatives of plane curves, as well as critical points.
A critical point of a differentiable function
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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