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This question is based on Section 3.2. Use the limit definition of a derivative given below to determine f'(x) for the function f(x) = 5x x2. h>0 h This question is based on Section 3.3. Determine the derivative f (x) for each function. (A) f (x) = x4+ 2. (B) f ( x ) = x2+4 x 2 -4This question is based on Section 3.3. Let S(t) = 2t3 31'2 12f + 8. (A) [2 marks]. Find the velocity function 00') and the acceleration function (10'). (B) [3 marks]. Determine the time intervals when the object is slowing down or speeding up. Exercises (A) and (B) are based on Section 3.5 and Section 3.6. Exercise (C) is based on Section 3.7. Exercise (D) is based on Section 3.8. Determine the derivative % for each function. (A) y = (sin(:rx))3. (B) y = (4x2 + 5x 1)2. (C) y = cos1(\\/3_c). (D) x2): = y2 7. This question is based on Section 3.9. (A) Calculate the derivative of f(x) = 3x3ex. (B) Use the method of logarithmic differentiation to determine the derivative of y = xtan x. This is a bonus question based on Section 3.9. Find an equation of the line tangent to the graph of y = 1n(x2 + 2x) at the point (1, 1n(3)). You do not need to graph anything. Make sure you leave your numbers as an exact value (do not round using a calculator)