Jun 17, 2015 · (x+h)(x+h) = F + O + I + L = (x*x) + (x*h) + (h*x) + (h*h) =x^2 + 2hx + h^2 FOIL is a useful mnemonic to help you remember all the combinations to multiply when multiplying two binomials. In addition, if the binomials are both in standard order, then FOIL tends to group the terms in a helpful way. To multiply (x+h)(x+h) add together each of the products: First : x*x = x^2 Outside : x*h = hx ...

May 7, 2017 · x^3+3hx^2+3h^2x+h^3 "one way is to expand using the result" (x+a)(x+b)(x+c) =x^3+(a+b+c)x^2+(ab+bc+ac)x+abc "here " a=b=c=h rArr(x+h)^3 =x^3+(h+h+h)x^2+(h^2+h^2+h^2)x+h.h.h =x^3+3hx^2+3h^2x+h^3

对f(x+h)在x处展开，就有你要的答案了。只是你理解的是在定点展开，这里的x是动点罢了（你可以把动点x看做在区间内随意 ...

Jun 14, 2016 · No. They have no special significance. All of these are simply used by convention to refer to a function. For example, f(x)=e^x, a(x)=e^x, and z(x)=e^x all mean the same thing. However, some notations mean only one thing. For example, zeta(s) refers to the Riemann zeta function: sum_(n=1)^oo1/n^s (See this link for more info: Riemann zeta function) In general, though, functions that describe ...

Aug 6, 2016 · To find f(x+h) substitute x = x + h into the function. #f(color(red)(x+h))=(color(red)(x+h))^2-2(color(red)(x+h))+5#

Aug 31, 2014 · This is one of the favorite function to take the derivatives of. y'=e^x If you wish to find this derivative by the limit definition, then here is how we find it. First, we have to know the following property of e: lim_{h to 0}{e^h-1}/{h}=1. (Note: This …

The order of the transformations is the order in which you would evaluate the expression for a given value of x. (1) simplify within the innermost parentheses, "(x-h)" --> translate h units right (2) perform the operation (multiplication) inside the other set of parentheses, "b(x-h)" --> stretch horizontally by a factor of 1/b

Sep 14, 2017 · Evaluate the limit #lim_(h rarr 0) {(x-h)^3-x^3}/h#? Calculus Derivatives Limit Definition of Derivative . 1 Answer

Mar 7, 2018 · Define the function: # f(x)=secx # Using the limit definition of the derivative, we have: # f'(x) = lim_(h rarr 0) (f(x+h)-f(x))/h #

Oct 10, 2014 · For the function f(x)=x^n, n should not equal 0, for reasons which will become clear. n should also be an integer or a rational number (i.e. a fraction). The rule is: f(x) = x^n => f'(x) = nx^(n-1) In other words, we "borrow" the power of x and make it the coefficient of the derivative, and then subtract 1 from the power. f(x) = x^2 => f'(x) = …