Example 31 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by

Example 31 - Find dy/dx, if x = a cos theta, y = a sin - Examples - Examples

part 2 - Example 31 - Examples - Serial order wise - Chapter 5 Class 12 Continuity and Differentiability

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Example 31 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo