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mr_godi [17]
3 years ago
11

Consider the parametric curve:

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}=\dfrac{4\sec t\tan t}{3\sec^2t}=\dfrac43\sin t

When t=\pi, we have

\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{t=\pi}=\dfrac43\sin\pi=0

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