1. Evaluate the derivative by the methods below. Simplify if possible. h(x) = > (3)* a) Sketch a graph, draw a tangent line and estimate h'(-1) b) Use the derivative shortcut for exponentials to find h'(-1). Show evidence. 1. Use the rules we have learned so far to determine the following: a) g(x) = 5 . 6* + 2 ex , determine g'(x), then evaluate g'(1) b) f(x) = 2x (1/3)* , determine f'(x), then evaluate f *(0) 2. Given: f(w) = 32"(-2w* + 6) a) Find f'(w) b) Determine the location of any horizontal tangents. (This will require use of your graphing calculator to "solve" for w.) dz 3. Evaluate =, for z= (t +4)2 using the quotient rule. Do not simplify. Factor and simplify the expression : 2x ( 4x - 5 ) - 6 / 4x -5 )* Use the method shown in class 8 ( 4x - 5 ) 5. Use the graphs of f(x) and g(x) below to answer the questions. Estimate when necessary. a) Find h'(-2) if h (x) = g (x) -f(x) b) Find z'(3) if z (x) = g (x) /f (x) y f (x) g (x)