anonymous
  • anonymous
So, in the very first lecture (at the beginning), the professor has "find the tangent line to y = f(x) at P = (x0, y0). Can someone explain what this means exactly?
OCW Scholar - Single Variable Calculus
  • 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!
anonymous
  • anonymous
kk wait for about five minutes...I tried to draw it here ! but I couldn't
anonymous
  • anonymous
hehe, thanks.
anonymous
  • anonymous
see now...!
1 Attachment

Looking for something else?

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

More answers

anonymous
  • anonymous
thanks neemo, so we're trying to solve for that point that coincided with the curve there?
anonymous
  • anonymous
i guess what i dont get is what does y = f(x) mean here
anonymous
  • anonymous
exactly ! y=f(x) is an equation that "describes" the curve...
anonymous
  • anonymous
so theres the graph itself and the tangent line and we're trying to find a specific point on that tangent line?
anonymous
  • anonymous
also, does y = f(x) just mean that we can solve for y by applying some function to x?
anonymous
  • anonymous
cuz if i remember my basic algebra, i think we need the slope also, no? or is that assuming the function is providing those details?
anonymous
  • anonymous
like f(x) = mx+b?
anonymous
  • anonymous
didn't get what you want to say ! x define y ...by y=f(x)....so sorry ; I didn't understand :( !
anonymous
  • anonymous
ok, sorry. think i overcomplicated it. the equation/notation makes sense to me, it just says find the y for the tangent line that hits the curve that has a point of x0, y0
anonymous
  • anonymous
is that accurate?
anonymous
  • anonymous
then; Y0=f(x0) or the point doesn't belong to the curve !
anonymous
  • anonymous
kk now ! I understand ! yeaaah it's true...just notations...finding y=ax+b for the tangent line ! what I gave you ! It satisfies you !
anonymous
  • anonymous
So to summarize, it's asking to get the y for the tangent line that touches a curve with points (x0, y0)? Is that accurate?
anonymous
  • anonymous
yes! it is !
anonymous
  • anonymous
I hope I'm not butting in but you should try watching Highlights of Calculus with Prof Strang, I found it very useful for myself anyway: http://ocw.mit.edu/high-school/
anonymous
  • anonymous
@JingleBells, if you are butting in (which i dont think you are) then I'm glad you did! I happened to already be in the middle of reading Strang's book so this is fantastic! Thanks a lot!
anonymous
  • anonymous
I'm glad to be of help. I think Prof Strang is fantastic: he describes \[\Delta y/ \Delta x\]as 'short/short' and dy/dx as 'darn short/darn short'
Luvgunn
  • Luvgunn
Hopefully it makes sense now that the proffesor was trying to tell us that derivatives or limits are the slope we need to find first for a given equation to solve or find the equation of a tangent line. Hope that makes sense?

Looking for something else?

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