Calculus

posted by .

Which of the following is a point at which the tangent to y=(x-2)^2(x+3) is horizontal?

a) (-2,16)
b) (-1, 18)
c) (1,4)
d) (2,0)

I found the derivative of y=(x-2)^2(x+3)

which is 3x^2-2x-8

if I solved for 0, it wouldn't give me the answer that are listed above. What did I do wrong?

  • Calculus -

    dy/dx=3x^2-2x-8 is good.

    I get x=-3/4 or x=2 for dy/dx=0.
    So can you find the answer from above?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    at what point is the tangent to f(x)=x^2+4x-1 horizontal?
  2. Calculus - Damon

    Find the line which passes through the point (0, 1/4) and is tangent to the curve y=x^3 at some point. So I found the derivative which is 3x^2. Let (a, a3) be the point of tangency. 3x^2 = (a3 - 1/4)/(a-0) I'm not sure how to solve …
  3. AP Calculus

    Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-2x)/(8y-3x) b) Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P. c) Find the value …
  4. Calculus-derivatives

    Verify these answers~ 1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent?
  5. Calculus derivative

    find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope?
  6. calculus

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

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

    Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0. A. Does f have an inflection point at x=0?
  9. Calculus

    The graph of the equation is x^2+xy+y^2=9 a) What is the equation of the right most vertical tangent?
  10. Calculus

    I found part B, but stuck on part A. Use implicit differentiation to find the points where the parabola defined by x^2-2xy+y^2+4x-8y+24= 0 has horizontal and vertical tangent lines. A) The parabola has horizontal tangent lines at the …

More Similar Questions