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Example 34 - Find dy/dx, if x = a cos theta, y = a sin - Examples

Example 34 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Example 34 Find 𝑑𝑦/𝑑π‘₯ , if π‘₯ = π‘Ž cosβ‘πœƒ, 𝑦 = π‘Ž sin ΞΈ.Here 𝑑𝑦/𝑑π‘₯ = (𝑑𝑦/π‘‘πœƒ)/(𝑑π‘₯/π‘‘πœƒ) Calculating π’…π’š/π’…πœ½ 𝑦 = π‘Ž sin ΞΈ 𝑑𝑦/π‘‘πœƒ = 𝑑(π‘Ž sin πœƒ)/π‘‘πœƒ 𝑑𝑦/π‘‘πœƒ = 𝒂 π’„π’π’”β‘πœ½ Calculating 𝒅𝒙/π’…πœ½ 𝑦 = π‘Ž cos ΞΈ 𝑑𝑦/π‘‘πœƒ = 𝑑(π‘Ž cos πœƒ)/π‘‘πœƒ 𝑑𝑦/π‘‘πœƒ = βˆ’π’‚ π’”π’Šπ’β‘πœ½ Now, 𝑑𝑦/𝑑π‘₯ = (𝑑𝑦/π‘‘πœƒ)/(𝑑π‘₯/π‘‘πœƒ) 𝑑𝑦/𝑑π‘₯ = (π‘Ž cos⁑θ)/(βˆ’π‘Ž sin⁑θ ) π’…π’š/𝒅𝒙 = βˆ’πœπ¨π­β‘π›‰

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.