Question

Rate of change of rational functions

Answer 1

0.635

Explanation:

`rate~of~change = (f(x_2) - f(x1))/(x_2 - x_1)`

`rate~of~change = (f(x_2) - f(x1))/(x_2 - x_1)`

`x_1 = 0`
`x_2 = 0.3`

`f(x) = (-7x^3)/(x^4 - 1)`

`f(x_1) = f(0) = (-7(0)^3)/((0)^4 - 1)`

`f(x_1) = (0)/(-1) = 0`

`f(x_2) = f(0.3) = (-7(0.3)^3)/((0.3)^4 - 1)`

`f(x_2) = (-0.189)/(-0.9919) = 0.190543`

`rate~of~change = (0.190543 - 0)/(0.3 - 0) = 0.635`