# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Views: 4,645 Announcement: Follow us on social media and spread the word about PF! Jan16-12 Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 09:24 AM micromass 1 46,523 Hello. Let us say that we have a graph f(x)=2x when x does not equal 3, and f(x)=undefined when x=3 The limit of... T 04:33 PM CuriousBanker 9 139 I would like to ask for help solving this problem. I've been at this problem for a few hours without making any... T 02:34 PM PlayingCatchUp 2 103 So, a while back i read about this idea, but i cant find it anymore, so i was wondering if anybody else knows about... T 11:14 AM bluntwcrackrap 4 357 Hey. I'm new to the forum and I was hoping you could help me solve this integral. I was searching for a clue on... T 04:09 AM phion 9 495 Today was our first lesson in our high school's accelerated calculus class. The class is our school's most second... Y 11:48 AM PlayingCatchUp 5 339 So my question is regarding the gradient of a function. Suppose we have a function expressed In cylindrical... Sep12-14 04:43 PM WWGD 3 242 What is taylor formula and how it is used in calculators? Sep12-14 06:12 AM FactChecker 4 326 Hello! I'm having some trouble determining, when trying to find the area between two curves, when to integrate with... Sep9-14 10:32 PM SteamKing 1 185 What wrong with my calculation.the problem is from the attachment. It keeps saying: NMinimize::nnum: "The function... Sep9-14 04:52 PM gaby287 3 142 You know that the problem of calculus of variations is finding a y(x) for which \int_a^b L(x,y,y') dx is stationary.... Sep9-14 12:28 AM julian 10 489 Hello, To measure the atomic force with an AFM. One can use the frequency shift of a cantilever. This change of... Sep8-14 09:14 PM pierebean 2 184 Several questions I have been thinking about... let me know if you have thoughts on any of them I added numbers to for... Sep7-14 12:24 PM wotanub 2 303 Hello everybody, I'm currently reading the book Special Relativity in General Frames by Gourgoulhon. There,... Sep6-14 05:02 AM Incnis Mrsi 10 346 I'm interested to find out how many people would agree on several quick solutions: 10X = 4X 1) X = 0 2) 10 =... Sep5-14 09:57 AM Mark44 2 199 For this function y=\sqrt{2ln(x)+1} if I use the chain rule properly, should I be getting this answer? ... Sep5-14 01:07 AM Mark44 10 496 I have a small confusion about functions and variables. So, on doing a bit of reading, a linear transformation is a... Sep4-14 11:19 AM micromass 9 360 Hi, Is the following integral well defined? If it is, then what does it evaluate to? \int_{-1}^{1} \delta(x)... Sep4-14 08:32 AM Incnis Mrsi 11 483 Hi, I am struggling for some time to solve the following integral:  \int_{-n}^{N-n} \left(... Sep4-14 08:12 AM Incnis Mrsi 2 472 Hi! I am taking a second look on fourier transforms. While I am specifically asking about the shape of the fourier... Sep4-14 07:50 AM Incnis Mrsi 3 321 Hi. Is using the Levi-Civita symbol to calculate cross-product combos like A x (B x C) allot faster than just using... Sep4-14 04:55 AM Incnis Mrsi 3 393 I asked to differentiate the given function using exponential function with sin(√3t + 1) I turned it into Im ... Sep4-14 01:42 AM sozener1 2 298 when differentiating e^(at) * (cos(bt) + isin(bt)) are you able to use product rule to find the derivative... Sep2-14 07:03 AM HallsofIvy 2 260 How do I perform this integration: \int \left (\frac{dy}{dx}\right)^{2} dx Thanks! Sep1-14 04:58 PM Cruikshank 12 1,166 Let a,b are constants. a=\int_{-∏}^∏ f(x)\,dx and b=\int_{-∏}^∏ {g(x)f(x)}\,dx, Then by integration... Aug31-14 03:55 PM mathman 5 391 Given: cos(x)\frac{1}{x} Find \frac{dy}{dx}: Now I know... \frac{dy}{dx} of cos(x) = -sin(x) and... Aug31-14 12:18 PM Shinaolord 10 291 Hi members, see attached Pdf file. For a<0,write b=-a and let x=bt.Then My question: how becomes the... Aug30-14 07:41 PM HallsofIvy 1 264 I was playing around with some simple differential equations earlier and I discovered something cool (at least for... Aug30-14 07:20 PM paradoxymoron 4 472 So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve,... Aug30-14 03:39 PM Siddartha 6 401 My textbook says the extreme value theorem is true for constants but I don't buy it. I mean I suppose that every... Aug29-14 12:22 AM Austin 9 370 Can someone explain to me why in this equation (attached) where ρ(t)=\sumδ(t-ti) , dirac funtion. in the left... Aug26-14 10:03 PM Fredrik 3 363 First off: I think I understand the chain rule and how it derives from \lim_{h \to 0} \frac{ f(x+h)-f(x)}{h} ... Aug26-14 07:55 PM Fredrik 8 397 Hi The question is the following: is it possible for a (say) real function to be continuous at a certain point... Aug26-14 08:42 AM glance 4 342 Hi :) I'm doing my A-Levels and have a maths investigation project for which I decided to model the working of a... Aug25-14 07:58 PM Simon Bridge 10 640 I am looking at a solution to an question and I don't understand how the value of the following definite integral... Aug24-14 05:29 PM SteamKing 7 454 I'm doing an undergraduate course in engineering 1st sem. I have physics which contains cumbersome amount of vector... Aug23-14 06:59 AM mal4mac 2 374 Firstly, the set E is defined: "Let E be the set of all positive real numbers t such that tn0 be fixed. We define a mapping \mathbb{Q}\to\mathbb{R},\quad q\mapsto a^q by setting... Aug19-14 06:20 PM jostpuur 2 363