Question: QUESTION TWO A. Find dy dx when y - x3 - 3x2 + 4x - 1. B. Differentiate 3x2 + 4x 1:2 + 2 with

QUESTION TWO A. Find dy dx when y - x3 - 3x2 + 4x - 1. B. Differentiate 3x2 + 4x 1:2 + 2 with respect to r. C. Given that y = (x2 + 1) find the value of dy when r - 1 D. Find the coordinates of the local maximum and local minimum of the curve y = a- 3x2 - 9r + 10 and hence sketch the curve.QUESTION ONE A. A particle starts out from the origin. Its velocity at time t is given by v(t) = 612 + 4t. How far does it travel from t - 1 to t - 4? B. Population of a city decreases. The rate of decrease of the population is P' = -500(20-t) where t is time in years and 0

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