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Usually very little.
f(x) simply denotes the function f except that with this notation it is explicit that f(x) is a function of the variable x (and only x).
So, f = x + 3 and f(x) = x + 3 are equivalent.
However, there will be times, with functions of more than one variables where you wish to consider only one of the arguments while holding the other argument constant.
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What is the difference etween f and f(x)?
Usually none. A function can be identified as f but it is more often denoted by f(x) to show that it is a function of x.
What is the difference between Taylor series and Maclaurin series?
A Maclaurin series is centered about zero, while a Taylor series is centered about any point c. M(x) = [f(0)/0!] + [f'(0)/1!]x +[f''(0)/2!](x^2) + [f'''(0)/3!](x^3) + . . . for f(x). T(x) = [f(c)/0!] + [f'(c)/1!](x-c) +[f''(c)/2!]((x-c)^2) + [f'''(c)/3!]((x-c)^3) + . . . for f(x).
What is the derivative of e-5x?
Looks like simple difference formula work here. f(x) - g(x) = f'(x) - g'(x) e - 5x = e - 5 =====
Are shifts sin cos tan equal to csc sec cot respectively?
No, they are the inverse functions, while csc, sec and cot are the reciprocal functions. To illustrate the difference, the inverse of f(x) = x+3 is f-1(x) = x-3 But the reciprocal of f(x) is 1/f(x) = 1/(x+3)
The difference between the square root of x and squared-?
Answer: The difference between the square root of x and squared is either x or -x. Answer: The square root is the inverse function of the square function. That means that it's basically the opposite. Asking for the square root of "x" is like asking "what number must I square to get 'x'".
