Answer Happy

show steps please so I can learn
Part 1. A particle moves horizontally according to the equation s(t)=-6² +9t+1. When is the particle speeding up? When is the particle slowing down? Part 2. For what values of x does the graph of f(x)= xe have a have a horizontal tangent line? need f'G) = 0 Part 3. Find the equation of the tangent line to f(x) = 1² at the point x = 2 Part 4. Find the derivative of the function f(x) = x²+3x-1 VE Part 5. Find the slope of the tangent line to √√²+5=z-y² at the point (7,2)