For type nential functions. [If b # logarithmic differentiation or first con situation where the rule does not apply. ROBLEMS 12.5 24. Find an Problems 1-12, find y' by using logarithmic differentiation. = (x+ 1)2(x -2)(x2+ 3) = (3x + 4)(8x - 1)2(3x2+ 1)4 at the point w = (3x3 - 1)2(2x + 5)3 4. y = (2x2 + 1) 18x2 - 1 25. Find an = Vx+1x- 1vx2 + 1 6. y= (2x+1)vx3+23/2x+5 1 - x2 x2 + 5 1 - 2x 8. y = V x+9 at the point v (2x2 + 2)2 x2 (1 + x2) 26. If y = x (x + 1)2(3x + 2) 10. y = when x = 1. Vx2 + 4 (x + 3)(x - 2) 27. If y = ( 3/ 6(x3+ 1)2 2x - 1 12. y = V rate of chang xbe-4x lems 13-20, find y'. 28. Suppose differentiabl 14. y = (2x) Vx differentiatio rVr 16. y = (3x + 1) 2x 18. y = (x2+ 1 )x+1 4 exx3x 20. y = ( Vx) nonsups oil 29. The der = (4x - 3)2x+1, find dy /dx when x = 1. = ( In x) Inx, find dy / dx when x = e. an equation of the tangent line to If the price percentage y = (x + 1)(x+ 2)2(x+3)2 30. Repeat t where x = 0. 5% decreas