Question

y=ln(x^2+sinx)求导

Answer 1

复合函数求导,应用链式法则
y'=dy/dx=[dy/d(x^2+sinx)]*[d(x^2+sinx)/dx]=[1/(x^2+sinx)]*(2x+cosx)
故y'=(2x+cosx)/(x^2+sinx)