# AP Calculus AB Question

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How do you find the rate of change in calculus?

EX: 43. Average Rate of Change Find the average rate of change of f(x) = 1 + sin x over the interval [0, (pi)/2].

44. Rate of Change Find the instantaneous rate of change of the volume V = (1/3)(pi)r^(2)H of a cone with respect to the radius r at r=a if the height H does not change.

45. Rate of Change Find the instantaneous rate of change of the surface area S = 6x^2 of a cube with respect to the edge length x at x=a.

46. Slope of a Curve Find the slope of the curve y = x^2 - x - 2 at x=a.

47. Tangent and Normal Let f (x) = x^2 - 3x and P = (1, f (1)). Find (a) the slope of the curve y = f (x) at P, (b) an equation of the tangent at P, and (c) an equation of the normal at P.

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