posted by .

Consider the function f(x)=2x+6x^(-1). For this function, there are three numbers A<B<C which are either critical or not in the domain of the function.

  • Calculus -

    f undefined for x=0
    f' = 2-6/x^2
    f'=0 when x=±√3

    I'll let you sort them out.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus help please

    Consider the function f(x)=2x+9x^–1.? For this function there are four important intervals: (-inf,–A], [A,B),(B,C), and [C,inf) where A, and C are the critical numbers and the function is not defined at B. Find A= ?
  2. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, …
  3. Math

    Consider the function f(x) = 7 x + 3 {x ^ -1 }. For this function there are four important intervals: (-infinity, A], [A,B),(B,C), and [C,infinity) where A, B and C are either critical numbers or points at which f(x) is undefined. …
  4. calculus

    final question Consider the function F(x)=3x^4-5x+3 / X^4+1 Find: Domain Vertical,horizontal,or slant asymptotes x-intercept(s) y-itercept(s) symmetry(respect to x, y-axis or orgin) F’ (x) Critical numbers F” (x) Possible points …
  5. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value …
  6. algebra

    Find the domain and range of the relation and determine whether it is a function?
  7. Calculus

    Consider the function f(x)=ln(x)/x^6. For this function there are two important intervals: (A,B] and [B,∞) where A and B are critical numbers or numbers where the function is undefined. Find A Find B For each of the following …
  8. Calculus

    Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative …
  9. Calculus

    Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?
  10. calculus

    Consider the function f(x) = e^sin(cos(x)) on the interval [0, 4π] a) The critical points of f are at__________?

More Similar Questions