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Hello, I need help with these practice questions pleasee . Could you do them on a piece of paper or on the practice questions sheets

Hello, I need help with these practice questions pleasee . Could you do them on a piece of paper or on the practice questions sheets so I can better understand.

Thank you

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1. What is the derivative of f (x) = e2x - e-2x ? a. f'(x) = 2e2x - 2e-2x C. f' (x) = e2x + e-2x b. f'(x) = e2x - e-2x d. fi( x) = 2e2x + 2e-2x 2. Determine the x coordinate of the point for which the tangent is horizontal to the function f (x) = =. a. In 2 NIHN b. 3. If f(x) = e-x , calculate f'(2). 1 a. Ave C. A IH -e4 b. - Ve d. e4 4. What is the derivative of f (x) = 3-6x+6 ? a. f'(x) = -6(3-6x+6) In3 C. f'(x) = -6(3-6*+6) In6 b. f'(x) = (3-6x+6) In3 d. f'(x) = (3-6x+6) In6 5. What is the derivative of f (x) = sin3(x2) ? a. f'(x) = 3sin2(x2) C. f'(x) = 6xsin2(x2) cos(x2) b. f'(x) = 3sin2(x2) cos(x2) d. f'(x) = 2xsin?(x2)6. If f(x) = e2x - cos x, f'(x) is: a. f'x) = 2e2x + tan x C. f'x) = 2e2x + sinx b. f'x) = 2e2x + cosx d. f'x) = 2e2x - sin x 7. If f (x) = sin 5x, f'(x) is: a. f'(x) = -5 cos 5x f' (x) = 2 sin 5x b. f'(x) = -2 sin 5x f' (x) = 5 cos 5x 8. Determine the slope of the tangent to the graph y = 3* at x =1. a. 3 In 4 4 In 4 b. 4 In 3 d. 3 In 3 9. Determine the slope of the tangent to the graph y = e* at x =1. a. 3 C. 2 b. 4 d. 10. A population of 100 bacteria doubles every 30 minutes. Use this information to find an expression for this population growth. Let P represent the population and t represent time in minutes. a. P = 100 (430) C. P = 30 (230) b. P = 100 (330) d. P = 100 (230)1 1. Determine the derivative of the following. Leave your final answer in a simplified factored form with positive exponents. a) y = 5 (2-4x) b) y = sin 2x - e-3x c) y = sin x cos'x d) y = Vsinx - 5x e) y = : e 5x-2x e 5x f) y = - 6cosx V2-3x12. Find the equation of the tangent to the curve f (x) = 3x cos 2x at x = " 13. Determine the equation of the normal line to f (x) = e2x at x = -1

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