AP Calculus AB Problem Set 4 - Product & Quotient Rule Name_ Find the derivative. Show all work. g(x) = ( x2+ 3)(x3 - 2x+1) 2. f(x) = 3. f (x) = x3 cosx 4 . h (x ) = Vx 5. y = x3 Inx 6. g(x) = 2x+5 7. f (x ) = sinx 8. y = 3-2x-x2 x2 - 1 9. h (t ) = VE(t2 + 4 ) 10. y = ex(secx) 11. g(x) = 2x sin x + x2 tan x 12. y = zin 15. Write 16. Let h be a follo13. Find the slope of the tangent line to the graph of f(x) = secx at (n, -#). 14. Find an equation of the tangent line to the graph of f (x) = *+1 at x-1atx = 3. 15. If y = sin x cos x, then find ~ at x = A . _1 B. C. E. 1 D. NI - 16. If f (x) = * + 3x + 2 then f' (x) = x+3 A. 2x + 3 B. -x -6x -7 (x+ 3) 2 C. * + 6.x+ 7 ( x + 3 ) 2 D. x +12x+11 (x+ 3) E. 3x2 +12x+11 (x + 3 )