How do you find the derivative of f (x) = x^2 - 4x + 3f(x)=x2−4x+3?

1 Answer
Jim G.
Sep 3, 2016

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

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