1. Differentiate. Simplify the answer (if possible). a) f(x) = xe* b) f ( x ) =- x+1 2. Differentiate. Simplify the answer (if possible). a) f(x) =er'-2r'+x b) f ( x)= evx 3. Differentiate. Simplify the answer (if possible). a) f (x) = x4* b) f ( x ) = - 2* + x2 4. Differentiate. Simplify the answer (if possible). a) f(x) =3" b) f ( x ) = x-(2 -* )5. Differentiate. Simplify the answer (if possible). f(x) 2-2-* 5.1 5.2 Derivative of Exponential Function 6. Find the equation of the tangent line to the graph of y = f(x) = (x+2)e-* at (0,2). 7. Find the local extrema for y = f(x) = xe*.8. Find the point(s) of inflection for y = f(x) = xe-* 9. Find the global extrema for f (x) = x 2* over [-2,1]. 10. Find & such that the function y = f (x)=e"* satisfies the equation y + 2y'ty"=0