Find the difference quotient of the following function fx 2

Find the difference quotient of the following function: f(x) = 2x^2 - x + 3 Write just the expression without leaving space in between.

Solution

Difference quotient

[f(x+h)-f(x)]/h

[2(x+h)^2-(x+h)+3-(2x^2-x+3)]/h

[2x^2+2h^2+4hx-h-x+3-2x^2+x-3]h

[2h^2+4hx-h]h

2h+4x-1