高数复合函数求导 y=ln cos e^x,求dy/dx

问题描述:

高数复合函数求导 y=ln cos e^x,求dy/dx

dy/dx=[d(ln cos e^x) / d(cos e^x)] × [d(cos e^x) / e^x] × [d(e^x) / x]
=[1/(cos e^x)] × [- sin e^x] × [e^x]
= - (tan e^x) × e^x