Post a New Question

Calculus

posted by .

let f(x)=x*e^x For what value of x is the slope of the line tangent to the graph of function f at [x,f(x)] equal to 1/2?

  • Calculus -

    f(x)=xe^x,
    f'(x)=e^x+xe^x=(x+1)e^x
    For the tangent to have a slope of 1/2, equate
    f'(x)=1/2 and solve for x:
    (x+1)e^x=0.5
    Solve by trial and error to be -0.315±

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    How can I determine a value of gradient from a graph if the line is curved. (not a straight line) This is where Calculus comes in If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you draw …
  2. Calculus

    55. Find an equation of the tangent line to the graph of f(x) =x^3 - 2x + 1 a) at (2,5); b) at (-1,2); c) at (0,1). I believe the answers are: a) y= (3/2 x) - (3/2) b) No solution c) No solution For each function, find the points on …
  3. calculus

    is the function f(x)=x^2 increasing on decreasing at x = -1. can anyone please check my reasoning: the value of the derivative of the function at x=-1 is -2, so that means the slope of the tangent line to the graph at that is a negative …
  4. Calculus: for mathmate

    Find the slope of the tangent line to the graph of the given function at any point: 1. f(x)= 13 I understand that you said the tangent to the line is the coefficient of x, but what would be the slope of this problem. For problems like …
  5. Math

    Find the points on the graph of the following function where the slope of the tangent line is equal to -5/2. f(x) = x+5/x-5 (x, y) = (smaller x-value) (x, y) = (larger x-value)
  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

    Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x) = -8/5 x^2 + 7 x + 7;(-1, -8/5) slope tangent line y =
  8. Calculus

    Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
  9. AP Calc. AB

    let f be the function given by f(x)=-2e^x^3. F0r what value of x is the slope of the line tangent to the graph of f at (x,f(x)) equal to -6
  10. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?

More Similar Questions

Post a New Question