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Example 34 - Chapter 5 Class 12 Continuity and Differentiability (Term 1)
Last updated at March 22, 2023 by Teachoo
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Example 34 You are here
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Transcript
Example 34 Find ππ¦/ππ₯ , if π₯ = π cosβ‘π, π¦ = π sin ΞΈ.Here ππ¦/ππ₯ = (ππ¦/ππ)/(ππ₯/ππ) Calculating π π/π π½ π¦ = π sin ΞΈ ππ¦/ππ = π(π sin π)/ππ ππ¦/ππ = π πππβ‘π½ Calculating π π/π π½ π¦ = π cos ΞΈ ππ¦/ππ = π(π cos π)/ππ ππ¦/ππ = βπ πππβ‘π½ Now, ππ¦/ππ₯ = (ππ¦/ππ)/(ππ₯/ππ) ππ¦/ππ₯ = (π cosβ‘ΞΈ)/(βπ sinβ‘ΞΈ ) π π/π π = βππ¨πβ‘π
