Question

hey guys i need help with a derivative problem. Using definition of the derivative get f'(x) by using f(x)= 2x^2-x+5

Answer 1

Using the definition of a derivative:
\[\lim_{h\to0}{\frac{2(x+h)^2-(x+h)+5-(2x^2-x+5)}{h}}\]
\[\lim_{h\to0}{\frac{2(x^2+2xh+h^2-(x+h)+5-(2x^2-x+5)}{h}}\]
\[\lim_{h\to0}{\frac{4xh+h^2-h}{h}}\]
\[\lim_{h\to0}{4x+h-1\]
\[4x-1\]

Answer 2

\[\lim_{h\to0}{4x+h-1}\]

Ooops. That second to last line should be the above.

Answer 3

i dnt know what grade r u in

Answer 4

I'm not in a grade...