Find Slope From Graph

harpazo

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How do I find the slope given the graph of a function?
 

MarkFL

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It the graph linear? Can you identify two points on the graph?
 
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harpazo

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It the graph linear? Can you identify two points on the graph?
If it is a linear function, we must identify 2 points. What if the graph is not linear? What if it is a trig function or cubic function or any other function that is a curve?
 

MarkFL

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If it is a linear function, we must identify 2 points. What if the graph is not linear? What if it is a trig function or cubic function or any other function that is a curve?
If the function is non-linear, then the slope will be a function instead of a constant, which is a topic for differential calculus. :)
 
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harpazo

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If the function is non-linear, then the slope will be a function instead of a constant, which is a topic for differential calculus. :)
Differential calculus meaning requiring the derivative of a function which is the slope, right?
 
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MarkFL

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Differential calculus meaning requiring the derivative of a function which is the slope, right?
Yes, the derivative represents the instantaneous slope or rate of change.
 
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harpazo

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Yes, the derivative represents the instantaneous slope or rate of change.
I like the idea of the derivative.

Note:

I was thinking about putting aside my college algebra textbook and jumping right into calculus 1. Mark, my goal is to "master" calculus 1-3, if that's even possible. All doctors get the same training in college but eventually they branch off into individual specialties in medical school.

Calculus covers algebra, geometry, trigonometry and precalculus topics to a certain extent. DO YOU THINK I SHOULD JUST SOLVE CALCULUS PROBLEMS? There's a person online known as the calculus guy. He knows most math courses taught before calculus 1 but his specialty is single variable and multivariable calculus. This is where I want to be. What do you say? I want people to say HARPAZO IS THE MAN TO CONTACT FOR ANYONE TAKING CALCULUS 1-3. I want to be the next James Stewart.