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It is the input value to the function called "f(x)"
If f(x)= x + 1, an input value of 2 ( x equals 2) would give us 2 + 1, or 3.
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What is an example of a function that is continuous on the interval a b for which the conclusion of the mean value theorem does not hold?
Let f(x)=abs(x) , absolute value of x defined on the interval [5,5] f(x)= |x| , -5 ≤ x ≤ 5 Then, f(x) is continuous on [-5,5], but not differentiable at x=0 (that is not differentiable on (-5,5)). Therefore, the Mean Value Theorem does not hold.
What is the difference between even and odd polynomial functions?
Even polynomial functions have f(x) = f(-x). For example, if f(x) = x^2, then f(-x) = (-x)^2 which is x^2. therefore it is even. Odd polynomial functions occur when f(x)= -f(x). For example, f(x) = x^3 + x f(-x) = (-x)^3 + (-x) f(-x) = -x^3 - x f(-x) = -(x^3 + x) Therefore, f(-x) = -f(x) It is odd
What is meant by f of g of x Specifically address the domain and range?
You would have been given a function for f(x) and another function for g(x). When you want to find f(g(x)), you put the function for g(x) wherever x occurs in f(x). Example: f(x)=3x+2 g(x)=x^2 f(g(x))=3(x^2)+2 I'm not sure what you mean by address domain and range. They depend on what functions you're given.
What is the value of the function f(x) 1.5x 7.6 when x 1.1?
You must provide a complete equation for the function. Do you mean f(x) = 1.5x + 7.6 or something else?
How do you calculate f times x?
If you know the values of "f" and "x", you just do the multiplication.Please note that if you see something like: y = f(x) this usually does NOT mean that f and x should be multiplied; it means that "y" SOMEHOW depends on "x", i.e., it is a function of "x". To calculate the value of this function, you need to know how exactly the function is defined.
What are the zeros of f of x plus 2?
I think you might mean f(x)+2? Or do you mean f(x+2)? Either way it depends on what f(x) is.
What is the derivative of x to the fourth power -3x cubed plus 5x2 divided by x squared?
If you mean: f(x) = x4 - 3x3 + 5x2 / x2 then: f(x) = x4 - 3x3 + 5 ∴ f'(x) = 4x3 - 9x2 If you mean: f(x) = (x4 - 3x3 + 5x2) / x2 then: f(x) = x2 - 3x + 5 ∴ f'(x) = 2x - 3
What does the single quote mean in functions?
For a function of only one variable it mean the derivative with respect to that variable. Thus, f'(x) = df(x)/dx. Occasionally, it can also refer to a variation of a function. For example, a family of functions, f(x), f'(x), f''(x) and so on.
If f x equals x-x plus2 what does f-3 equal?
-1
What does the derivative graph mean?
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
What is an example of a function that is continuous on the interval a b for which the conclusion of the mean value theorem does not hold?
Let f(x)=abs(x) , absolute value of x defined on the interval [5,5] f(x)= |x| , -5 ≤ x ≤ 5 Then, f(x) is continuous on [-5,5], but not differentiable at x=0 (that is not differentiable on (-5,5)). Therefore, the Mean Value Theorem does not hold.
What are the rules of differentiation?
While no set of rules can handle differentiating every expression, the following should help. For all of the following, assume c and n are constants, f(x) and g(x) are functions of x, and f'(x) and g'(x) mean the derivative of f and g respectively. Constant derivative rule:d/dx(c)=0 Constant multiple rule:d/dx(c*f(x))=c*f'(x) Sum and Difference Rule:d/dx(f(x)±g(x))=f'(x)±g'(x) Power rule:d/dx(xn)=n*xn-1 Product rule:d/dx(f(x)*g(x))=f'(x)*g(x) + g'(x)*f(x) Quotient rule:d/dx(f(x)/g(x))=(f'(x)*g(x)-g'(x)*f(x))/f(x)² Chain rule:d/dx(f(g(x))= f'(g(x))*g'(x)
What is the factor of the monomial 3f6?
3 x f x f x f x f x f x f = 3f6
What is fx for graphing mean?
f(x) is the same thing as y= example: f(x)=2x+3 OR y=2x+3
Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f’(c) in the conclusion of the Mean Value Theorem for the function and intervals.g(x) = {x³, -2 ≤ x ≤ 0; x², 0 < x ≤ 2?
lil tj
How do you differentiate a fraction with x as a numerator?
Suppose you wish to differentiate x/f(x) where f(x) is a differentiable function of x, and writing f for f(x) and f'(x) for the derivative of f(x), d/dx (x/f) = [f - x*f']/(f2)
Does h of x mean the same thing as Function of x also known as f of x?
Yes, h(x) is simply a function h --> x, like f(x) is a function f --> x. The different letters are used to illustrate the fact that the two functions need not be the same.
