For the function f(x)=2x^2+x, calculate f(x+h) then calculate and simplify the difference quotient
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Well, we know that our function is f(x)=2x^2+x
Next, we calculate f(x+h). To do this, we simply put (x+h) into f(x)
Now, we can use the difference quotient to find the slope
m = [ f (x + h) – f(x) ] / h
m= 2(x+h)^2 +(x+h)-2x^2+x
m= [(2x^2+4xh+2h^2+x+h)-(2x^2+x)]/ h
m= (2x^2+4xh+2h^2+x+h-2x^2-x)/ h
m= 4xh+2h^2+h / h
m= h(4x+2h+1)/ h
Therefore the answer is
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