3. Compute the derivative of each function below. Leave your answer in a non-simplified form so it is clear what method you used.

a) ?(?) = ?^3 ln(5?)

b) ?(?) = 2?^2x??^x/1+?

c) ?(?)=5?^2

4. Given the equation of the tangent line to the graph ?(?) = ?5?^2 + 1 at the point (0,1).

5.

5. (8 points) 6 a) lim b(x) b) lim b(x) y = h(xx) X--1- X--1+ () lim h(x) d) h( -1) x--1 e) lim h(x) f) lim b(x) W 6 xX x-+3- x-+3+ g) limb(x) h ) h ( 3) x-+33. Compute the derivative of each function below. Leave your answer in a non- simplified form so it is clear what method you used. (30 points) a) f(x) = x3 In(5x) b) f (x ) = = 202x-ex 1+x c) f(x) = 5x2 4. Given the equation of the tangent line to the graph f(x) = -5x2 + 1 at the point (0,1) (14 points) 5. (8 points) a) lim b(x) b) lim b(x) y = b(x) x4-1- x4-1* () lim b(x) d) b(-1) x 4- e) lim b(x) f) lim b(x) 1-3 0 3 6 X x-3- x-3 -3 g) lim b(x) h) b(3) x+3