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Implicit Differentiation | Equations with Exponential and Trigonometric Functions
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In this calculus tutorial/lecture video, we discuss here the implicit differentiation technique which is used in finding the derivative a function defined implicitly by an equation. In particular, we solve these two problems:
1. Find 𝑑𝑦/𝑑𝑥 if 𝑒^(𝑥/𝑦)=𝑥^2 𝑦−5.
2. Find the equation of the tangent line to the curve sin(𝑥+𝑦)=𝑦^2 cos𝑥 at the point (𝜋,0).
1. Find 𝑑𝑦/𝑑𝑥 if 𝑒^(𝑥/𝑦)=𝑥^2 𝑦−5.
2. Find the equation of the tangent line to the curve sin(𝑥+𝑦)=𝑦^2 cos𝑥 at the point (𝜋,0).