.

2.3 Higher order dirivatives

1.

(a) $y(0) = 4,  v(0) = 3, a(0) = -2$ (b) $y(0) = 0, v(0) = -6, a(0) = 0$

(c) $y(0) = 9, v(0) = -\frac{9}{2}, a(0) = \frac{9}{2}$

2.

(a) $\displaystyle{\frac{1}{(x^{2} + 1)^{3/2}}}$ (b) $\displaystyle{\frac{1}{x}}$ (c) $\displaystyle{2e^{x}\cos{x}}$