(7) Function f(x) is defined as y = sin x + In x, Note that x and y are functions oft. Find the rate of change of x with respect to time for x = 1: (radians) when the rate of change of y with respect to time is 4 m/s (meters per second) (8) Find y' using implicitdifferentiation method: sin(y) =sin(x) cos(y) + 4 (9) Findthe derivative: f (x) = cos(ln x) + loglo x (10) Find the derivative by taking In (natural log) of both side of the function. y = [(008 90"]x2