Calculus

posted by .

For what values of x is the graph of the function f(x)= x^2e^x concave down. Give your answer using exact values

  • Calculus -

    It will be concave down if f''(x) < 0

    take the second derivative, and solve for f''(x) < 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    g(x)=(x^3)-(3x^2)+17 a)find and classify all critical points of g(x) using exact with x and y values. b)for what values of x is the function concave down; again exact x and y values.
  2. 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?
  3. Calculus

    Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(-x/4)sin(x^2). A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the …
  4. Calculous

    the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x<or equal to 3 a)for what values of x in the domain does f have a relative max and …
  5. calculus

    Please help me solve. I think increase = concave up and decrease = concave down?
  6. grade 12 AP calculus

    for f(x= -1/4x4-1/3x3+2x, use analytic method to find the exact intervals on which the function is a)increasing, b)decreasing, c)concave up, d)concave down, then find any e)local extreme values, f)inflection points
  7. Calculus

    For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine where the function is increasing and decreasing, where it is concave up and concave down, and any points of inflection. I understand this is using the first and second …
  8. math please help me!

    Estimate the instantaneous rate of change of the function f(x) = x ln x at x = 1 and at x = 3. (Use h = 0.1, 0.01, 0.001, 0.0001, and so on. Round your answers to four decimal places.) f '(1) = f '(3) = What do these values …
  9. Precalculus

    The exponential function f(x)=6(4)^2x+2 can be written in the standard form f(x)=Abx. Find the values of A and b. Give exact values, not decimal approximations. I don't know how to do with this problem. I try to graph and use points …
  10. Calculus

    Given the graph of f'(x) with f(x) continuous on all reals, find the intervals f(x) is concave up and down and find the X values of the points of inflection. I did points -2 concave down to 2 then concave up 4.

More Similar Questions