# How do you use the quotient rule to find the derivative of #y=e^x/cos(x)# ?

##### 1 Answer

Sep 16, 2014

#y'=(e^x*(cosx+sinx))/(cos^2x)#

Explanation :let's

#y=f(x)/g(x)# then Using quotient rule to find derivative of above function,

#y'=(f'(x)g(x)-f(x)g'(x))/(g(x))^2# Similarly following for the given problem,

#y=e^x/cos(x)# , yields

#y'=(e^x*cos(x)-e^x*(-sinx))/(cos^2x)#

#y'=(e^x*(cosx+sinx))/(cos^2x)#