Find f' (x) and find the equation of the line tangent to the graph of f at x = 1. f(x) = (2+ 3x)(3 - 2x) . . . f' ( x) =The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions. 60t2 5W2 t +100 E> a) Find S'(t). S'(t) = D \fA rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 3 feet per minute. Find the rate at which the area is changing at the instant the radius is 8 feet. @ When the radius is 8 feet, the area is changing at approximately |:| square feet per minute. (Round to the nearest thousandth as needed.)