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The path of a particle moving in a straight line is given by s=t^3-6t^2+9t+4. a. Find s and a when v=0. b. Find s and v when a=0. c. When is s increasing? d. When is v increasing?

Find the derivative of the following function: 1. f(x)=cos⁡[cot⁡(sec⁡ x^2)] 2. y=[(x+1)(x+2)/(x-1)(x-2) ]^n 3. D_x [4 cos⁡(sin⁡3x)] 4. D_x ((2x^2+1)/(3x^3+1))^2 5. D_x cot⁡xy+xy=y sin⁡x

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