Example 26 (iv) - Chapter 5 Class 12 Continuity and Differentiability

Last updated at August 14, 2026 by Teachoo

Example 26 (iv) - Differentiate e^(cos x) w.r.t x [with Video] - Examples

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Example 26 Differentiate the following w.r.t. x: (iv) 𝑒𝑐𝑜𝑠 𝑥Let 𝑦 = 𝑒^cos⁡𝑥 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = 𝑑(𝑒^cos⁡𝑥 )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑒^cos⁡𝑥 . 𝑑(cos⁡𝑥 )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 𝑒^cos⁡𝑥 . (−sin⁡𝑥 ) 𝒅𝒚/𝒅𝒙 = 〖−𝒔𝒊𝒏⁡𝒙. 𝒆〗^𝒄𝒐𝒔⁡𝒙

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