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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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

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.