If x = a cosθ and y = b sinθ , find second derivative
1 answer:
I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

Compute the first derivative. By the chain rule,

We have


and so

Now compute the second derivative. Notice that
is a function of
; so denote it by
. Then

By the chain rule,

We have

and so the second derivative is

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