dy Differentiate implicitly to find dx Then find the slope of the curve at the given point. x y - 3x - 4=0; (2,7) dy dxdy Differentiate implicitly to find Then find the slope of the curve at the given point. dx 2 - 4y = 563; (-3, -5) dy = dxThe number of times a new pop song has been downloaded t weeks after its initial release is given by 3,200,000 f(t) = 1 + 300 e - 0.65t a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)