Monday 5:21 PM
me: hey can you help me
namtutor: with calc?
me: yeah
namtutor: sure :)
me: If the line tangent to the graph of the function f at the point (-1,7) passes through the point (2,2) then find f'(-1)
namtutor: oh, that's not too hard to understand
namtutor: do you know how to find the average rate of change?
me: f(b)-f(a)/b-a?
namtutor: yes :)
me: oh
me: -5/3?
namtutor: yes yes :))
me: oh
me: damn, i'm actually dumb
namtutor: are you okay?
namtutor: you seem down
me: i'll be okay
namtutor: what happened? :(
me: nothing, i'm just dumb as always
namtutor: you're not dumb hyejin
me: well i mean, if even my parents tell me i am dumb, i'm dumb
namtutor: you know the intelligence of a person comes partially from their parents
namtutor: so your parents are calling themselves dumb too
namtutor: not saying you are dumb though
me: ehehe
me: wait, really?
namtutor: it's a debatable topic but generally yes
me: dang
me: ehehe
namtutor: do you need any more help?
me: yes
me: Let f be differentiable function with f(3)=8 and f'(3)=-5, and let g be the function defined by g(x)=xf(x). Write the equation of the line tangent to the graph of g at x=3.
namtutor: basically we need to find a point and a slope
namtutor: let's start with the point, what is something they give you that is part of a point?
me: x=3?
namtutor: yes, so just plug that in wherever you see an x in the equation that they gave you
me: g(3)=3*f(3)?
namtutor: and they gave you what f(3) equals right?
me: they did?
namtutor: yes
me: oooOOOOOOHHHH
me: g(3)=24?
namtutor: yay!
namtutor: and now, the slope
namtutor: take the derivative of the function they gave you
namtutor: you have to use the product rule
me: g'(x)=x+xf'(x)
namtutor: and then plug all the numbers you know and solve
me: okay wait
me: -7?
namtutor: and then put the point and the slope into the slope formula
me: y-24=-7(x-3)?
namtutor: good job :))
me: okay, there's another one
me: imma try it on my own
me: Given that f(3)=2, f'(3)=-1, g(3)=0 and g'(3)=5, evaluate h'(3) if h(x)=f(x)(4g(x)-2).
namtutor: you have to use the product rule
me: shhHHhHHhHhHhh
me: wait, it's not the same problem
namtutor: just find the derivative, plug the numbers in, and solve
me: okay shhHHhHhHHhhHHH
me: 42
namtutor: see, you're smart
me: i have the intelligence of a rock
namtutor: no, you are smarter than you think
me: that's false but thank you
namtutor: and like i said before, being smart or not doesn't matter
namtutor: i mean, jungkook barely got through high school but he's doing well now
me: jungkook
me: so yOU ARE A FAN
me: harhar
me: caught red-handed
namtutor: oh yeah, ahaha
namtutor: do you feel a little better?
me: yes, i do
me: thank you :)))
namtutor: did you get your bts tickets?
me: no bUT I GOT TICKETS TO THEIR FAN SIGNING
me: it's okay, i'm jealous of me too
namtutor: ahaha
namtutor: is it the upcoming one?
me: yeaaAAh
me: i'm excited but scared at the same time
me: what if i like fall in front of them and break my body
namtutor: didn't jimin fall on live television once
me: yeah but he's cute when he does that but if i do that, it's like stepping on a cockroach, disgusting
namtutor: aha no
me: aha yes
me: and dang, you're a hardcore ARMY aren't you
me: who is your bias?
namtutor: hahaha i don't have one
me: oof, we love an ot7 stan
namtutor: you're cute
me: thanks but the only time i'll believe it is when namjoon tell me that 😤
namtutor: i'm sure namjoon would think you're cute too
me: ehehe
me: i don't care if he does actually
me: i just want him happy
me: i want all of them to be happy and well fed
me: with the chubby cheeks and the big full tummies
namtutor: so cute
me: yes they are cute with the chubby cheeks and full tummies
namtutor: aha aw
namtutor: i have to go
me: alrighty, thank you again for cheering me up and helping me!!!
namtutor: no problem :)
-
a/n - so uh
lol i'm sorry if this was a bit boring
why do you guys like this story so much anyways, i think it's a bit boring tbh
