Finding derivative of a function by chain rule
Finding derivative of a function by chain rule
Last updated at April 16, 2024 by Teachoo
Question 2 Differentiate sin โก(cos โก(๐ฅ2)) with respect to ๐ฅ .Let ๐ฆ = " " sin โก(cos โก๐ฅ2) We need to find derivative of ๐ฆ ๐ค.๐.๐ก.๐ฅ i.e. ๐ฆ^โฒ = (๐ ๐๐โกใ (cosโกใ๐ฅ^2 ใ )ใ ) ๐๐ฆ/๐๐ฅ = ๐(๐ ๐๐โกใ (cosโกใ๐ฅ^2 ใ )ใ )/๐๐ฅ = cos (cosโกใ๐ฅ^2 ใ ) . ๐(cosโกใ๐ฅ^2 ใ )/๐๐ฅ = cos (cosโกใ๐ฅ^2 ใ ). (โsinโกใ๐ฅ^2 ใ ) . ๐(๐ฅ^2 )/๐๐ฅ = cos (cosโกใ๐ฅ^2 ใ ). (โsinโกใ๐ฅ^2 ใ ) . 2๐ฅ = โ 2x sin ๐^๐. cos (cos ๐^๐)