SubArea: DerivativeLevel: BProject ID: 9000063110Source Problem: 2010002004Accepted: 1Clonable: 1Easy: 0Differentiate the following function. f(x)=sinx(1+tgx)f′(x)=cosx+sinx+sinxcos2x, x∈R∖{π2+kπ;k∈Z}f′(x)=cosx+sinx, x∈R∖{π2+kπ;k∈Z}f′(x)=sinxcos2x, x∈R∖{π2+kπ;k∈Z}f′(x)=cosx+2sinx, x∈R∖{π2+kπ;k∈Z}