Calculus AP need help!

posted by .

i don't know how or what to starts

Find the slope of the tangent line to the curve 4x^2+3xy+3y^3=-251 at the point (-4,-5)

  • Calculus AP need help! -

    sure you know where to start. slope means get a derivative. In this case, use implicit differentiation to get

    8x + 3y + 3xy' + 9y^2*y' = 0
    y'(3x+9y^2) = -(8x+3y)

    y' = -(8x+3y)/(3x+9y^2)

    y' at (-4,-5) = 47/213 (?? wak!! ??)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent …
  2. 12th Grade Calculus

    1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve?
  3. calculus

    1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve …
  4. calculus

    Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1) b. Write an equation of each horizontal tangent line to the curve. c. The line through the origin with slope -1 is tangent to the curve …
  5. Calculus AP

    implicit differentiation Find the slope of the tangent line to the curve xy^3 + 2y - 0.76 =0 at the point (-3, o.7) I'm lost. so 3xy^2 * y' + 2y = 0 right?
  6. Calculus 251

    The slope of the tangent line to the curve y= 3x^3 at the point (-1,-3) is:?
  7. Calc AB

    Suppose that f(x) is an invertible function (that is, has an inverse function), and that the slope of the tangent line to the curve y = f(x) at the point (2, –4) is –0.2. Then: (Points : 1) A) The slope of the tangent line to the …
  8. calculus

    Find the slope of the tangent line to the curve (sqrt(4x+y))+(sqrt(3xy)) at the point (3,4) The slope of the tangent line to the curve at the given point is ?
  9. Calculus AB

    Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive?
  10. Calculus AB

    Could someone please help me with these tangent line problems?

More Similar Questions