Question

Rate of change of rational functions

Answer 1

Answer:

0.635

Step-by-step explanation:

$rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}$

$rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}$

$x_1 = 0$       $x_2 = 0.3$

$f(x) = \dfrac{-7x^3}{x^4 - 1}$

$f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1}$

$f(x_1) = \dfrac{0}{-1} = 0$

$f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1}$

$f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543$

$rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635$