11:27 PM Sat Oct 30 '5? ('3' 36% E} 6 9 + Imported File Oct 30, 2021 at 11:03 PM Find the right derivatives of the following functions. Indicate for each real values, if any, each derivative does not exist 1. g(x) =x.cos(x) 2. K(x)=tan(x).sin(x) 3. h(x) =\\l1-x'L 33: I? 5. (30 points) At time f, the position of a body moving along the s-axis is s - -t' + 6(3 - 9: (a) (5 points) Find the body's velocity as a function of time: u(t) V ( ) = - 3 62 + 126 - 9 (b) (5 points) Find the body's acceleration as a function of time: a(t). act ) - - 6t + 12 (c) (5 points) Find the time when the acceleration was zero. At what rate is the velocity changing then?2. (15 points) Consider f(r) with the following graph (a) List all the x-values where the derivative doesn't exist and explain what happens at each (b)/Specify the Domain, the Region of Continuity. and the negres of Dingrentiability of this fiction