steve816
  • steve816
Can someone give me a link that explains about difference quotient? Thanks!
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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Jadedry
  • Jadedry
Try this link! : http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/24-the-difference-quotient-01
FireKat97
  • FireKat97
Personally I really likes this youtube https://www.youtube.com/watch?v=1O5NEI8UuHM
FireKat97
  • FireKat97
youtuber*

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steve816
  • steve816
Thanks everyone for the link guys. My teacher is so bad at time management and explaining that I pretty much have to teach myself stuff.
anonymous
  • anonymous
I felt that way in college for a lot of the classes, having to teach myself the material.
anonymous
  • anonymous
the difference quotient is essentially the slope between the points (x, f(x) ) and ( x + h, f( x +h) )
anonymous
  • anonymous
|dw:1442911973354:dw|
anonymous
  • anonymous
|dw:1442912055335:dw|
anonymous
  • anonymous
x+ h - x = h that is why you will get h in the denominator
anonymous
  • anonymous
$$ \Large \sf slope = \frac{rise}{ run} =\frac{f(x+h) - f(x) }{(x+h) - x }= \frac{f(x+h) - f(x) }{h} $$
anonymous
  • anonymous
if you let h go to zero, then you have the derivative at x . so the derivative at x is the limit of the slope as h goes to zero. we also call this the 'instantaneous slope' , since it is the slope at the instant of time x.

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