Question

How do you find the derivative of `f(x)=19-20x`?

Answer 1

`f'(x)=-20`

Explanation:

differentiate each term using the `color(blue)"power rule"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))`

`f(x)=19-20x=19x^0-20x^1`

`rArrf'(x)=0-20x^0`

`rArrf'(x)=-20`