Math

posted by .

Determine the y-coordinate of the local minimum on the graph of the function f(x) = x5 - 6x2 + x + 4.

  • Math -

    f(x) = x^5 - 6x^2 + x + 4
    f '(x) = 5x^4 - 12x + 1
    = 0 for a max/min

    Not an easy equation to solve,
    Wolfram shows two real solutions,
    x = appr 1.3098 or x = appr .08335

    http://www.wolframalpha.com/input/?i=5x%5E4+-+12x+%2B+1+%3D+0

    f(1.3098) = -1.129
    f(.08335) = 4.04167

    so the y of the local min is appr -1.129

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. how to sketch a graph of..

    Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank …
  2. Algebra

    Could you please check my work. Determine whether the realtion is a funtion. 2.{(-6,2),(-2,5),(3,2),(3,-7)} -Not a function 2. Determine whether the equation defines y as a function of x. 2x+4y=15- the answer I got is y is a fucntion …
  3. Algebra2

    Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph …
  4. Math-Graphs

    graph g(x)=4(x^3)-24x+9 on a calulator and estimate the local maxima and minima. the answers are either a)The local maximum is about –13.627417. The local minimum is about 31.627417. b)The local maximum is about 31.627417. The local …
  5. Calculus (final question I promise)

    1. Use calculus and algebraic methods to do a complete analysis (i.e., intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points) for each of the …
  6. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of a …
  7. Calculus (pleas help!!!)

    Let f(x)=e^(2x)-kx, for k greater than 0. Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum. x= ____ Find …
  8. Calculus Please Help

    Let f(x)=e^(2x)-kx, for k greater than 0. Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum. x= ____ Find …
  9. calc

    How I can to determine the domain and the maximum and minimum local of the following function: f(x)=6sec((pi*x)/8). And I need to graph the function.
  10. calculus

    How to sketch the graph of a differntiable function y = f(x) that has the given properties.Local minimum at (1,1) and local maximum at (3,3)

More Similar Questions