Zenmo
  • Zenmo
Help me understand this textbook example (Calculus Limits & Derivatives).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Zenmo
  • Zenmo
I don't understand how slope is 3/2.
1 Attachment
SolomonZelman
  • SolomonZelman
Oh, i think they are just supposing that the "slope" at x=5 turned out to be 3/2.
SolomonZelman
  • SolomonZelman
They are trying to introduce the notation. Tell me, you might have heard that the "derivative" is the "slope", have you?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Zenmo
  • Zenmo
yes. here is the next part
1 Attachment
SolomonZelman
  • SolomonZelman
Yes, and what about it?
Zenmo
  • Zenmo
I still don't see how they got 3/2 as the slope
Zenmo
  • Zenmo
Did you mean the definition of a derivative?
SolomonZelman
  • SolomonZelman
what exactly are you trying to ask me?
Zenmo
  • Zenmo
In the example from the pictures, I don't know how they gotten the slope as 3/2. So, I want to know how they got it.
SolomonZelman
  • SolomonZelman
They are telling you this (for part 1): Suppose the slope of the function f, at x=5 is approximately equal to 3/2. You know that the slope/derivative at every x on the function is denoted by f`(x), and thus the slope of the function at at a particular value of x=c is denoted by f'(c). So, to denote that \(\large"\)the slope/derivative of the function at x=5 is approximately 3/2 \(\large"\), --> you will write: f`(5) ≈ 3/2
Zenmo
  • Zenmo
Ok, thanks.
SolomonZelman
  • SolomonZelman
And for part 2, what exactly do you want to know?
Zenmo
  • Zenmo
Posted there in-case more information was needed as that is the expanded part of the example.
SolomonZelman
  • SolomonZelman
Yeah, they have a graph for ` f(x) `. That is the graph of the function in \(\LARGE \color{blue}{\rm _{^{blue}}}\), it is the first graph. You will agree that a particular point at ` x=c ` will be ` ( c,f(c) ) `. Then, you got a \(\LARGE \color{purple}{\rm _{^{purple}}}\) graph, it is the second graph and it is for the derivative (or the slope) of the function f(x), and it is denoted by: ` f '(x) `. ---> The slope at x=c will be given by f'(c). So the (c,f(c)) gives you the point at x=c, and f'(c) gives you the instantaneous slope of that point.
SolomonZelman
  • SolomonZelman
Observe the point B on the graph of f(x). You will see that the B' (the derivative of B), is B'=0.

Looking for something else?

Not the answer you are looking for? Search for more explanations.