Chapter A, Problem 59E

(a)

To determine

To prove: The equations $y_1=y_2$ where;

$\begin{array}{c}{y}_1=x^2\left(\frac{1}{3}\right){\left(x^2+1\right)}^{-\frac{2}{3}}\left(2x\right)+{\left(x^2+1\right)}^{\frac{1}{3}}\left(2x\right)\\ y_2=\frac{2x\left(4x^2+3\right)}{3{\left(x^2+1\right)}^{\frac{2}{3}}}\end{array}$

(b)

To determine

To prove: The equality in (a) numerically by using table

$\begin{array}{cccccccc}x& -2& -1& -\frac{1}{2}& 0& 1& 2& \frac{5}{2}\\ y_1& & & & & & & \\ y_2& & & & & & & \end{array}$

(c)

To determine

To prove: The equality in part (a), graphically.