Answer:
0.635
Step-by-step explanation:
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex] x_1 = 0 [/tex] [tex]x_2 = 0.3[/tex]
[tex] f(x) = \dfrac{-7x^3}{x^4 - 1} [/tex]
[tex] f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1} [/tex]
[tex] f(x_1) = \dfrac{0}{-1} = 0 [/tex]
[tex] f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1} [/tex]
[tex]f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543[/tex]
[tex] rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635 [/tex]
