Hello, I need help with these practice questions pleasee .

Thank you

sin(3x) What is the derivative of f ( x Of ( 20 3xsin(3x)-cos(3x) Of ( x) 3x cos (3x ) +sin(3x) 3 cos(3x) -sin(3x) = 2 2 Of IC 3x cos(3x)-sin (3x)What is the derivative of f (x ) = 5vx? C In 5 (5V2 ) O f " In 5 (5Vz) = 2Vx Of' ( 2) = In 5 (5va) Of ( 2) = In 5 5Vx xIf y = ex, f' (x ) is: Of' (a ) = 3x Of' ( 20 ) = ex Of' (20 ) = -et Of' (20 ) = 2 20The range for f (ac = e* is R = { y ER}. O True O FalseA population of 100 bacteria doubles every 30 minutes. Let P represent th e population and t represent time in minutes. Use this information to find an expression for this population growth. OP:30(2) ative of f (a) = sin3 (ac2) ? Of' (x) = 6x sin (x2) cos (2 2) Of' (2) = 2x sin (22 Of (x) = 3 sin (202) Of' (2) = 3 sin (a2) cos (x2)What is the derivative of fx | = 2r x 3? O fx = 3x2e2x3 (1 - 2x3) O f x = 3x2e2x (1 + 2x3) O fox = - 3x2e2x (1 + 2x3) Of ( x ) = 02x - y - 271 = 0 is the equation of the line tangent to f(x) = sin (2x) at X = O True O FalseThe derivative of f (x ) = ex is f (x) O True O False\fx - y = 0 is the equation of the line tangent to f (x = x COS 2x at X 2 O True O FalseFind the slope of the tangent of f (ac = for @ = 1. O slope=3In4 O slope=4In3 O slope=4In4 O slope=3In32'. Determine the equation of the tangent to the curve f(:c) = 1% at 113 = 1. Leave your final answer in standard form. The second derivative of f (x ) = e is f" (x) = ex True C False