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4. * Let f(sc) = 5562 (a) (/10) Show that f(3 + h) : 5h2 + 30h + 45. (b) (/ 10) Show that f(3 + h) 1(3) :11 . h 5+30 (c) (/5) Compute f'(3). 5. Let f(:c) : 22:2 3;): 5. (a) Show that the secant line through (2, f(2)) and (2 + h, f(2 + (1)) has slope 2h + 5. (b) Use the formula above to nd the slope ofthe secant line through (2, f(2)) and (3, f(3)). (c) Find the slope of the tangent line at :1: : 2. 6. * (/5*5) Compute f'(a) in the following (a) fax 2x2+933, a=0 () (b) f($):x2+933, a: (c)f(:c):39:2+4a:+2 a:1 (d)f(f~5):$3= a: ()f(I):i.r G22