/sci/ - Science & Math

I have to calculate g(a) and g'(a) where g is the inverse of f.

f(x) is x^x ,and a = 2

Can anyone help me learn implicit differentiation? I learned differentiation with du*u prime and now im tripped up by the dx/dy stuff

Find dy/dx by implicit differentiation.
x^4 + y^3 = 3

thanks!

Hi there /sci/

What maths should I know before I tackle Calculus? (Basically the prerequisites)

any idea where to start with this?

"Prove the statement using the ε, δ definition of a limit and illistrate with a diagram."
Lim (3x +5) = -1 as x approaches -2 from either direction

I have my first test in AP Calculus AB tomorrow (I'm a senior... 18) on limits and continuity and I am very fucking confused. I've always been a straight A student in honors math without studying and just cramming to do the homework before class... in pre-calc I got 97+ both semesters/exams, even on the limits intro at the end of the year.

Now, my brain hurts by the end of class and the homework is hard.. I miss about half the problems.

Well, if I fail this test can I do well in the rest of the class? Or does it just get harder and build from this? I was failing the first quarter in honors physics last year but aced the rest of the year, so I'm hoping this can be like that (that was the only other time I've thought of a class as hard).

Ok /sci/, I've got some questions to ask. I have:

y <= delta(A)/delta(x) <= y + delta(y)

A= area

now, how come that having the delta(x) (change in x) approach zero makes:

dA/dx=y ?

Obviously, this is calculus, and this part of the concept (about the differential of an area) with mathematical explanations kind of confused me.

If anyone would care to answer, I'd be asking more after this.

/sci/ I need some help with Calculus:
Limits at Infinity.

My problem is (Sorry if it's not in the "right" format)
Limit x->Infinity (5x^3/2)/4sqrt(x)+1

How the fuck do i Go start and solving this. The single square root x is messing with me.


ANY HELP GREATLY APPRECIATED

hey /sci/

i am having my first tutoring session this afternoon. i'll be tutoring a girl in year 12 maths B which is mostly calculus, basic limits, etc.

any tips on being a good tutor?

sup /sci/

I need help with calculus

1: what is the limit as x goes to 5 for ((1/x)-(1/5))/(5-x)...(I'm stuck on the algebra)

2: what is the limit as x goes to infinity for (7-x^3+2x)/(5x^3-8)...(don't know how to do)

3: find k so that f(x) is continuous

f(x)= {4x, x<5} {x^2-k, x > or = to 5}

(don't know how to do)

4: Sketch a function which is continuous over the interval [a,b] but not differentiable over (a,b)...(no clue what the question is asking or how to do it)

5: For what value(s) of x does f(x)=x^4-3x^2-7x have a horizontal tangent...(stuck on the algebra)

6: If f(x) = (3x^2)/(x-2), find f1(2)...(stuck on algebra)

and f1=first derivative in case you couldn't tell

I don't care about the exact answers, I just need what I've written in the parenthesis

thanks in advance bros

<3

http://apcentral.collegeboard.com/apc/members/repository/ap06_calcAB_samples_q3.pdf

can someone explain the integral for part a
and why g(4)=3

Consider z = f(x.y) where x = rcosθ abd y = rsinθ.
(a) By rearranging the expressions for x and y, obtain the inverse relationship r(x,y) and θ(x,y) and show that

∂r/∂x = cosθ, ∂r/∂y = sinθ, ∂θ/∂x = (-1/r) sinθ, ∂θ/∂y = cosθ
[Hint f(x) = atan x => f'(x) = 1/(1+x^2)]

Ive been attempting this for about an hour and have no clue how to even show the first one. There must be something I'm missing, could anyone who knows how to do this give me a push in the right direction or any sort of advice?

Hey guys I'm sorry to come here and bring up my school work but I'd like some help my with my Calculus. I'm getting now help from the teacher nor the internet. You're my saving throw.

Basically I'm having issue with Limits as X goes to infinity. Specifically recognizing the patterns.

Can you guys provide any help? That's alright if you can't but I'd be much obliged if you could.

Hey /sci/ what does d^2y/(dx^2) imply? I'm studying differential and the derivatives but I've got a question here that asks for the d^2y/(dx^2); y=xsinx which is kinda new to me.

How do I solve this? You don't have to solve it entirely for me but if you guys could be of help and teach me that will really be appreciated.

I need help with another calculus question:

Two cars are parked at the same location. One of the cars leaves at 1:00 pm and travels North at 30 mph. One hour later, the second car leaves and travels East at 40 mph. How fast is the distance between the cars increasing at 4:00 pm?

I know the rates of change and the basic formula (Pythagorean theorem), but once I plug in the 30 and 40 I have no idea what to do.

Please help!

Hello /sci/ence vessels, dumbfag here.

I have a Calculus AB test tomorrow on related rates, optimization, and graph sketching. I need to get a decent grade on this test to pass, and I am clueless on most of this and I was wondering if you guys had any tips for the topics that would help.

I have a hard time with word problems and the main problem with graph sketching is I make stupid mistakes on algebra. I'm cranking out a shitload of practice problems right now

Crossposting

I'm literally being forced to learn calculus (collegefag) completely on my own, and there's shit I need to learn TONIGHT.

Basically I have to learn about
Implicit differentiation
Related Rates
Inverse functions (+trig)
Derivatives of ^


ANY HALP PLZ THNX

So I've got a Calculus 2 final exam coming up Sunday. My total score so far out of 100 is 10, & the final exam decides the remaining 50 points. But I'm shit at calculus.

Wat do?