Question

How do you find the derivative of `f (x) = x^2 - 4x + 3`?

Answer 1

`f'(x)=2x-4`

Explanation:

differentiate f(x) using the `color(blue)"power rule"`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1)" and " d/dx("constant")=0)color(white)(a/a)|)))`

here `f(x)=x^color(red)(2)-4x^color(red)(1)+3`

`rArrf'(x)=(color(red)(2)xx1)x^(color(red)(2)-1)-(color(red)(1)xx4)x^(color(red)(1)-1)+0`

`rArrf'(x)=2x^1-4x^0+0=2x-4`