concavity

posted by .

The graph of the function y= x3+6x2+7x-2cos x changes concavity at x=

  • concavity -

    Concavity changes sign where the second derivative is zero. That would be where
    6x + 12 + 2 cosx = 0, which can also be written
    3x + 6 + cosx = 0

    This transcendental equation will have to be solved numerically by iteration.
    If x = -2, 3x + 6 + cosx = -0.42
    If x = -1.9, 3x + 6 + cosx = -0.02
    -1.9 is close to the correct answer

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Math-Calculus (check please)

    FOr the function f(x)=x^2e^x Find the critical points, increasing decreasing, first and second derivative and concavity I am having trouble finding the concavity >_< First derivative: xe^x(x+2) Second : e^x(x^2+4x+2) Critical …
  3. Please Help! Calculus

    We have to find out which of these statements are true. I narrowed it down to 2 answers. a) if f"(0)=0, the the graph of f changes concavity at x=0 b) If the function f is continuous on the interval [a,b] and the integral from a to …
  4. Calc

    Various values for the derivative, f'(x), of a differentiable function f are shown below. x=1, f'(x) = 8 x=2, f'(x) = 4 x=3, f'(x) = 0 x=4, f'(x) = -4 x=5, f'(x) = -8 x=6, f'(x) = -12 If f'(x) always decreases, then which of the following …
  5. Calc-slopes & concavity

    1. Let f(x)=x^3-3x+2 a.) Find the equation of the line tangent to the graph of y=f(x) at x=2 b.) For what values of x is the function increasing?
  6. Calculus

    1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be applied, …
  7. calculus

    find the points of inflection and discuss the concavity of the graph of the function f(x) = -sin x + cos X 0<x< 2pie
  8. Concavity-Calculus

    Determine the concavity for f(x)= 4/x^2-1 I took the second derivative and solved for zeros. I got x=-1 and x=1. However when plugged into the orig. equation this results in 4/0 (undefined). Does this mean there is no concavity?
  9. Math

    How would you write open intervals for concavity?
  10. Math (Slope and Concavity of vector)

    I am given a vector function <2cos(t) + cos(2t), 2sin(t) + sin(2t), 0> (in other words) : (2cos(t) + cos(2t))i + (2sin(t) + sin(2t)j + 0k Compute the slope dy/dx and concavity d^2x/(dx^2) at t = pi/3. I understand that finding …

More Similar Questions