Question

Question #32582

Answer 1

Average rate of change over interval 1,2 `=2`

`f'(1)=1`

Explanation:

`f(x)=x^2-x`
`f(2)=2^2-2 = 2`
`f(1)=1^2-1=0`

Average rate of change`=(f(x_2)-f(x_1))/(x_2-x_1)`
`=(2-0)/(2-1)=2`

`f(x)=x^2-x`
`f'(x)=2x-1`
`f'(1)=2(1)-1=1`