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#1 2024-03-28 11:06:51
- nycguitarguy
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- From: Brooklyn, NY
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Difference Quotient of f
The slope of the secant line containing the two points
(x, f(x)) and (x + h, f(x + h)) on the graph of a function y = f(x) may be given as
m_sec = [f(x + h) - f(x)]/[(x + h) - x] which leads to [f(x + h) - f(x)]/h, where h cannot = 0.
Express the slope of the secant line for the function f(x) = 2x^2 + x in terms of x and h. Be sure to simplify.
Let me see.
f(x) = [2(x + h)^2 + (x + h) - (2x^2 + x)]/h
f(x) = (2(x^2 + 2xh + h^2 + x + h - 2x^2 - x)/h
f(x) = (2x^2 + 4xh + 2h^2 + x + h - 2x^2 - x)/h
f(x) = (4xh + 2h^2 + h)/h
f(x) = 4x + 2h
f(x) = 2(2x + h)
Correct?
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
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#2 2024-03-28 20:39:27
- Bob
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Re: Difference Quotient of f
f(x) = (4xh + 2h^2 + h)/h
f(x) = 4x + 2h
f(x) = 2(2x + h)
When you divide by h there should be an h/h = 1 term
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob 
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#3 2024-03-29 08:07:12
- nycguitarguy
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- From: Brooklyn, NY
- Registered: 2024-02-24
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Re: Difference Quotient of f
f(x) = (4xh + 2h^2 + h)/h
f(x) = 4x + 2h
f(x) = 2(2x + h)
When you divide by h there should be an h/h = 1 term
Bob
f(x) = (4xh + 2h^2 + h)/h
f(x) = 4x + 2h + 1
f(x) = 2(2x + h) + 1
Yes?
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
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#4 2024-03-29 20:50:15
- Bob
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Re: Difference Quotient of f
That's it.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#5 2024-03-30 00:59:41
- nycguitarguy
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- From: Brooklyn, NY
- Registered: 2024-02-24
- Posts: 571
Re: Difference Quotient of f
That's it.
Bob
Thank you, Bob. Some knucklehead asked if my question is homework.
Please, read my reply.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
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