SOLUTION: For f(x)=x^2+2x find f(x+h)-f(x)/h
HELLLLP PLZZZZZ!
Could you plzz show the work so I can see how it is done.
Algebra.Com
Question 190304: For f(x)=x^2+2x find f(x+h)-f(x)/h
HELLLLP PLZZZZZ!
Could you plzz show the work so I can see how it is done.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
 = x^2 + 2x)
 = (x + h)^2 + 2(x + h) = x^2 + 2hx + h^2 + 2x + 2h)
, so
 - f(x)}{h} = \frac{x^2 + 2hx + h^2 + 2x + 2h -(x^2 + 2x)}{h} = \frac{h^2 + 2hx + 2h}{h} = h + 2x + 2)
And then, of course,
}{dx} = \lim_{x\rightarrow h}\ {\frac{f(x+h)-f(x)}{h}\ =\ \lim_{x\rightarrow h}\ {h + 2x + 2}\ =\ 2x + 2)
John
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