Вопрос Function Evaluate the derivative Find the domain Find the critical numbers Загрузить ещё f′(y)=eyye+ey+1ye−1 Evaluate f(y)=eyyeTake the derivative of both sides f′(y)=dyd(eyye)Use differentiation rule dxd(f(x)×g(x))=dxd(f(x))×g(x)+f(x)×dxd(g(x)) f′(y)=dyd(ey)×ye+ey×dyd(ye)Use dxdex=ex to find derivative f′(y)=eyye+ey×dyd(ye)Calculate Больше Шагов Calculate dyd(ye)Rewrite the expression dyd(eln(ye))Calculate dyd(eeln(y))Use the chain rule dxd(f(g))=dgd(f(g))×dxd(g) where the g=eln(y), to find the derivative dgd(eg)×dyd(eln(y))Use dxdex=ex to find derivative eg×dyd(eln(y))Calculate eg×yeSubstitute back eeln(y)×yeCalculate ye×yeCancel out the common factor y ye−1eMultiply the terms eye−1 f′(y)=eyye+ey×eye−1Решение f′(y)=eyye+ey+1ye−1 Показать решение График