$23\mathrm{.}8$ Compute the first$-$order central difference approximations $of$

$O(h^4)$ for each $of$ the following functions $at$ the specified location

and for the specified step size:

$(a)y=x^3+4x-15$

$atx=0,h=0\mathrm{.}25$

$(b)y=x^{2}cosx$

$atx=0\mathrm{.}4,h=0\mathrm{.}1$

$(c)y=tan(\frac{x}{3})$

$atx=3,h=0\mathrm{.}5$

$(d)y=sin\frac{0\mathrm{.}5\sqrt[\phantom{2}]{x}}{x}$

$atx=1,h=0\mathrm{.}2$

$(e)y=e^x+x$

$atx=2,h=0\mathrm{.}2$

Compare your results with the analytical solutions.