SOLUTION: I need some help please f(x)=3x^2-5x+2, find [f(x+h)-f(x)}/h] please help Thank you

Question 58211: I need some help please
f(x)=3x^2-5x+2, find [f(x+h)-f(x)}/h]
please help
Thank you

Found 2 solutions by stanbon, hayek:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=3x^2-5x+2, find [f(x+h)-f(x)}/h
f(x+h)= 3(x+h)^2-5(x+h)+2
=3x^2+6hx+3h^2-5x-5h+2
=(3x^2-5x+2) +6hx+3h^2-5h
Then f(x+h)-f(x) = 6hx+3h^2-5h
And finally [f(x+h)-f(x)]/h = [6hx+3h^2-5h)/h
=6x+3h-5
Cheers,
Stan H.
Answer by hayek(51) (Show Source): You can put this solution on YOUR website!
First, find f(x+h):

Now write the problem:
=
=
=
=

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Note that when you take the limit as h nears 0, you have the formula for the slope of the curve at each point (x) along the curve.
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