Ex 5.2, 2 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by Teachoo

Ex 5.2, 2 - Differentiate cos (sin⁡ x) - Chapter 5 NCERT

Next: Ex 5.2, 3 → Remove Ads

Transcript

Ex 5.2, 2 Differentiate the functions with respect to 𝑥 cos (sin⁡𝑥) Let 𝑦 = cos (sin⁡𝑥) We need to find derivative of 𝑦, 𝑤.𝑟.𝑡.𝑥 i.e. (𝑑𝑦 )/𝑑𝑥 = (𝑑(cos (sin⁡𝑥 )))/𝑑𝑥 = − sin⁡(sin⁡𝑥) . (𝑑(sin⁡〖𝑥)〗)/𝑑𝑥 = − sin⁡(sin⁡𝑥) . cos⁡𝑥 = − 𝐜𝐨𝐬⁡𝒙 𝒔𝒊𝒏 ⁡(𝐬𝐢𝐧⁡〖𝒙)〗

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