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In this lesson, we will learn how to find second derivatives and higher-order derivatives of parametric equations by applying the chain rule.
Q1:
Given that 𝑥 = 3 𝑡 + 1 and 𝑦 = 3 𝑡 + 5 𝑡 , find d d 𝑦 𝑥 .
Q2:
Given that 𝑥 = 𝑡 − 𝑡 l n and 𝑦 = 𝑡 + 𝑡 l n , find d d 𝑦 𝑥 .
Q3:
If 𝑦 = − 5 𝑥 − 7 and 𝑧 = 3 𝑥 + 1 6 , find 𝑑 𝑧 𝑑 𝑦 at 𝑥 = 1 .
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