1.) solve for x, 2 = (2x+2)e^x

Question

2.) If you forget the expression that results when differentiating the tangent function. Explain how you can derive this derivative using another method?

Note: question 2 has no correlation with question 1, also no mistakes were made with question 2.

Answer 1

(2x+2)e^x = 2
(x+1) e^x = 1
by inspection, x=0

tanx = sinx/cosx
so use the quotient rule