Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Let . Find the second derivative and the third derivative of at .
is the derivative of , and is the th derivative. For a parametric curve, . To verify a relation, differentiate twice and substitute.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. First derivative. .
Step 2. Second derivative. . At this is .
Step 3. Third derivative. . At this is .
Answer: and .
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