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Calculus Tutorial

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1

Differential Calculus Tutorial

http://www.calculus-tutorial.com/differential-calculus-tutorial.html

The subject of calculus can broadly be defined as the study of changes. The differential calculus is one major part of the subject. In differential calculus we study about the changes at infinitesimal stage. In other words, differential calculus is microscopic study of changes. Let us take a short but closer look of important concepts of differential calculus. Example 1: Find the derivative of the function f(x) = $ frac{arc cos(x/2)}{ sqrt{2x 7} $. Now, let us do part by part. Treating (x/2) as a separat...

2

Integral Calculus Tutorial

http://www.calculus-tutorial.com/integral-calculus-tutorial.html

Integral calculus is that part of the calculus which deals a change of function in macro level, That is, all micro level changes are 'integrated' and studied. This is opposite or the inverse of differential calculus. The inverse operation of differentiation of a function is the integration. The result of integration is called integral and some times it is also termed as 'anti derivative' becuse the operation is inverse to the operation of differentiation. Problem 1: Evaluate the integral $ int$ cos dx.

3

Precalculus Tutorial

http://www.calculus-tutorial.com/precalculus-tutorial.html

Let us take a closer look of different formulas from precalculus that have important use in calculus. Formulas and definitions from Functions. 1) A function describes the mathematical relation between the input variable and the expression for the output. 2) Domain of a function is the set of variables for which the function is defined. 3) Range of a function is the variation in the values of the function in the given domain. X) = g(x) and g. 10) The operation rules of composition of functions are,. 12) T...

4

Calculus Limits Tutorial

http://www.calculus-tutorial.com/calculus-limits-tutorial.html

For eminent clarity let us go through some limit problems and get a real feel of the concept. Problem 1: Find the limit of the function f(x) = x. 5x 6, as x tends to 1. As per fundamental theorem of limits, the limit of a sum is equal to the sum of the limits. Therefore,. Lim {x - 1}f(x)= lim {x - 1}[x 2 5x 6]= lim {x - 1}[x 2] lim {x - 1}[5x] lim {x - 1}[6]$. 5*1 6 = 1 5 6 = 12. Problem 2: Find the limit of the function f(x) = (x. 3x 2)/(x 1), as x tends to -1. 3x 2) = (x 2) * (x 1). Therefore,. 1 x/(si...

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Calculus Tutorial

Calculus includes a lot of material from algebra and trigonometry, which is why calculus tutors insist on students having a thorough understanding of these subjects. Calculus is useful in problems where just algebraic knowledge will not suffice. Any situation which involves a change occurring at a non-constant rate employs calculus principles to find the answer. Solve $ int {1} {2}x 5dx$. Int {1} {2}x 5dx$ = [$ frac{x 6}{6}] {1} {2}$. Int x n$ = $ frac{x {n 1} {n 1}$. 2 6 - 1 6$]. Put $tan {-1}z$ = t.

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Calculus Tutoring

Calculus Tutoring is in high demand across the country.Live Homework Help and Calculus Tutoring. Monday, May 30, 2011. Basic integrals seventh Example. Basic integrals seventh Example Tube. Duration : 1.67 Mins. College free tutor help www.integralcalc.com computing and computational problems of the sample. Please visit our website for more videos or contact me for help in computing. Tags: basic integrals, calculus, integralcalc. Thursday, May 26, 2011. Limitations of the calculations underlying. That ma...

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2016F Week 3 進度. 1 複習函數 (function) 的基本觀念與相關專業術語. 1) 函數圖形上下(垂直)移動,例如: g(x) = f(x) 1. 2) 函數圖形左右(水平)移動,例如: g(x) = f(x 1). 3) 函數圖形上下(垂直)拉扯或壓縮,例如: g(x) = 2 * f(x). 4) 函數圖形左右(水平)拉扯或壓縮,例如: g(x) = f(2x). 5) 函數圖形對 x 軸做鏡射,例如: g(x) = -f(x). 6) 函數圖形對 y 軸做鏡射,例如: g(x) = f(-x). 2 函數的組合,透過加減乘除運算子將兩個函數組合起來。例如: F(x) = f(x) * g(x). 4 合成函數的拆解練習。講解例題 4, 5, 6。練習習題 22, 23, 24。 167; 1-3 函數的極限. 5 極限的基本觀念: 函數的極限值是指該函數在特殊點上的函數值。 167; 1-1 函數及其描述方式. 1 複習函數 (function) 的基本觀念與相關專業術語. 1) 對稱 y 軸: 偶函數,檢驗方法 f(-x) = f(x). 167; 1-2 常用基本函數概述.