Determine the points on the curve y=x^2(x^3-x)^2 where the tangent line is horizontal. Thx!

62,353 results
  1. Calculus 1

    Find the equation of the tangent line to the curve y = (9 ln x)/x at the points (1, 0) and (e, 9/e).

  2. calculus

    a) If x3 + y3 - xy2 = 5, find dy/dx. (b) Using your answer to part (a), make a table of approximate y-values of points on the curve near x = 1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04. (c) Find the y-value for x = 0.96 by substituting x = 0.96 in the

  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 with slope equal to

  4. calculus

    Notice that the curve given by the parametric equations x=25−t^2 y=t^3−16t is symmetric about the x-axis. (If t gives us the point (x,y),then −t will give (x,−y)). At which x value is the tangent to this curve horizontal? x = ? At which t value is

  5. calculus

    Find the points on the curve y = 2x^3 + 3x^2 - 12x + 1 where the tangent is horizontal

  6. AP Calc. AB

    At how many points on the curve y=4x^5-3x^4+15x^2+6 will the line tangent to the curve pass through the origin?

  7. math

    Consider the equation x^2y+3y^3=24 Find dy/dx I got -2xy/x^2+9y^2 The next question is Determine the points, if any where the tangent line to the graph of the equation is horizontal How do I do this part??

  8. last calc question, i promise!

    given the curve x + xy + 2y^2 = 6... a. find an expression for the slope of the curve. i got (-1-y)/(x + 4y) as my answer. b. write an equation for the line tangent to the curve at the point (2,1). i got y = (-1/3)x + (5/3). but i didn't any answer for c!

  9. Calculus

    Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line tangent to the curve has slope 1/2. (c) Show that there are now points (x,y) on the curve where the line tangent to the curve is

  10. calculus

    Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line. f(x) = 10 cos x + 5 sin 2x There should be three

  11. Calculus

    1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what point on the curve

  12. Math

    The line has equation y=2x+c and a curve has equation y=8-2x-x^2. 1) for the case where the line is a tangent to the curve, find the value of the constant c. 2) For the case where c = 11, find the x-coordinates of the points of intersection of the line and

  13. Math (Calculus) (mean value theorem emergency)

    Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c in the interval (-2,4)

  14. Calculus

    A) The point p(3,1) lies on the curve y= square root x-2. If Q is the point (x, square root x-2) use your calculator to find the slope of the decant line PQ for the following values of x 1) 2.5 2.) 2.9 3.) 2.99 4.) 2.999 5.) 3.5 6.) 3.1 7.) 3.01 8.) 3.001

  15. calculus

    Find the x-coordinates of all points on the curve f(x) = sin 2x − 2 sin x at which the tangent line is horizontal. (Enter your answers as a comma-separated list. Use n to represent any integer.)

  16. math

    For the curve given by 4x^2+y^2=48+2xy, show that there is a point P with x-coordinate 2 at which the line tangent to the curve at P is horizontal.

  17. 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 at point P. Find the

  18. Calculus

    a)The curve with equation: 2y^3 + y^2 - y^5 = x^4 - 2x^3 + x^2 has been linked to a bouncing wagon. Use a computer algebra system to graph this curve and discover why. b)At how many points does this curve have horizontal tangent lines? Find the

  19. calculus 1

    The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 2, -1 1.5,2 1.9,1.111111 1.99,1.010101 1.999,001001 2.5,0.666667 2.1,0.909091 2.01,0.990099 2.001,0.999001 using the results from

  20. 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 curve y = f –1(x) at

  21. please help; calc

    original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point P.

  22. Calculus

    at what point is the tangent to f(x)=x^2+4x-1 horizontal? That would be when the derivative, df/dx = 2x + 4, equals zero. df/dx at any point of a curve f(x) is the slope of the tangent line.

  23. Calculus

    Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points on the curve where y equals 0 and show that the tangent lines there are parallel. Find the coordinates of all points on the curve where there is a horizontal tangent line, with work.

  24. calculus

    1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8. a. Find the coordinate of all points at which the tangent to the curve is a horizontal line. b. Find the coordinate s of all points at which the tangent to the curve is a

  25. calc

    Suppose a curve is traced by the parametric equations x=1sin(t) y=18-3cos^2(t)-4sin(t) At what point (x,y) on this curve is the tangent line horizontal?

  26. calculus

    Find all points on the curve x^2y^2+xy=2 where the slope of tangent line is -1. This is what I got. x^2y^2+xy=2 x^2*2ydy/dx + 2x*y^2 + x*dy/dx + y =0 dy/dx(2yx^2+x)= -2xy^2-y dy/dx = (-2xy^2-y)/(x+2yx^2) how do I finish from here? I need to know where the

  27. Calculus

    the curve: (x)(y^2)-(x^3)(y)=6 (dy/dx)=(3(x^2)y-(y^2))/(2xy-(x^3)) a) find all points on the curve whose x-coordinate is 1 and write an equation for the tangent line of each of these points b)find the x-coordinate of each point on the curve where the

  28. calculus

    Determine equations for the tangents to the points on the curve y = -x^4 + 8x^2 such that the tangent lines are perpendicular to the line x = 1. I've found the derivative, but not really sure where to go from here.

  29. Calculus

    Suppose that y=f(x) = sqrt(2x), x>=0 Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f^–1(x) at x = c. You get: c = 1/8 c = 1/2 c = (1/8)^(1/3) c = (1/3)^(2/3) c = (1/2)^(1/3)

  30. Need help fast on calc

    original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point P. -when plugging y as

  31. Math- Calc 1

    1. At what point does the normal line to the curve x^2 - XY + Y^2 = 3 at the point (-1,1) intersect the curve again? 2. Find the constants A, B so that if Y=A*sin X + B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points on he

  32. Calculus

    For the parametric curve defined x=2t^3-12t^2-30t+9 and y=t^2-4t+6 ..find dy/dx and then where is the tangent to the curve vertical (give the cartesian coordiantes of the points. and find the tang. to the curve horizontal dx/dt= 6t^2-24t-30 dy/dt= 2t-4

  33. Calculus

    At what points on the curve y=(x^2)/(2x+5) is the tangent line horizontal? y'=[(2x)(2x+5)-(2)(x^2)]/(2x+5)^2 =[2x^2+10x]/(2x+5)^2 I plugged 0 into x, and got the coordinates (0,0). How do I get the other pair of coordinates? Thanks in advance.

  34. 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? At what point on the curve does the curve

  35. math

    L is a straight line in x-y plane. its equation is in the form y-8=m(x-1) determine all points in x-y plane where line L intersects curve y=2x^2 i know that 1,8 is a point on the line. I'm not sure what points the question is looking for here. Without

  36. Calculus

    Determine an equation of the tangent line to the curve of f (x) = 3e^4x − 3 at the point where the curve crosses the y-axis.

  37. calculus

    Find the points on the curve y= 2x^3 + 3x^2 - 36x + 7 where the tangent is horizontal.

  38. Calculus

    1) An equation of the line contains points (7/9, 7) and (-7/9) is 2) Find the slope of the line tangent to the curve y=x^2 at the point (-0.6, 0.36) and find the corresponding equation of the tangent line

  39. calculus help

    Find the points where the tangent line is horizontal or vertical. Find the area under one period of the curve. x= r(deta - cos deta) Y= r(1- sin deta)

  40. Math (Calculus)

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t I got tan(t) B) Find all values of t where the curve has a horizontal tangent. I got (+-)(pi)(n)

  41. 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 point(s): B)The

  42. math

    1 A particle is moving in a stright line with the position at any time t is given by s= t³–9t²+3t+1,where s in meters and t in second. Find its position and acceleration when velocity is ¯24m/s 2. Given that x²cos y_sin y=0,(0,π). A. Verify that the

  43. math

    Determine the points on the curve y=x^2(x^3-x)^2 where the tangent line is horizontal. Thx!

  44. Calculus AB

    Could someone please help me with these tangent line problems? 1) Find the equation of the line tangent to the given curve at the indicated point: 3y^3 + 2x^2 = 5 at a point in the first quadrant where y=1. 2) Show that there is no point on the graph of

  45. Calculus

    Please help this is due tomorrow and I don't know how to Ive missed a lot of school sick Consider the curve given by the equation x^3+3xy^2+y^3=1 a.Find dy/dx b. Write an equation for the tangent line to the curve when x = 0. c. Write an equation for the

  46. Calculus

    Use the given equation to answer the following questions. (Enter your answers from smallest to largest.) r = 8cos(¦È) 0 ¡Ü ¦È < ¦Ð (a) Find the points on the given curve where the tangent line is horizontal. theta= theta= (b) Find the points on the

  47. calculus

    1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8. a. Find the coordinate of all points at which the tangent to the curve is a horizontal line. b. Find the coordinate s of all points at which the tangent to the curve is a

  48. calculus

    Given the curve defined by the equation y=cos^2(x) + sqrt(2)* sin(x) with domain (0,pi) , find all points on the curve where the tangent line to the curve is horizontal

  49. Help Calc.!

    original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point P.

  50. 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 at a particular point

  51. Calculus

    Can someone show how this question is solved. Consider the curve given by the equation 2y^3 + y^2 - y^5 = x^4 -2x^3 +x^2 Find all points at which the tangent line to the curve is horizontal or vertical. Thanks!

  52. reiny please help me

    use the derivative of f(x)=2x^3 + 6x to determine any points on the graph of f(x) at which the tangent line is horizontal a. (1,8) and (-1,-8) b. f(x) has no points with a horizontal tangent line c. (2,28) and (-2,28) d. (1,8) e. (0,0)

  53. Calculus

    Find all points on the curve where the tangent line is horizontal y = (x^6/6) - (x^2/2) + 1

  54. math

    question: find the points at which the graph of x^2 -4x + y62 -6y =12 has a vertical or horizontal tangent line. I found the deriviative to be (x-2)/(3-y) Then, the x value for a horizontal would be x=2 and the y value for a vertical would be y=3. But how

  55. Math- Calc 1

    1. At what point does the normal line to the curve x^2 - XY + Y^2 = 3 at the point (1,1) intersect the curve again? 2. Find the constants A, B so that if Y = Asin X = B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points om he

  56. Calc

    1. At what point does the normal line to the curve x^2 - XY + Y^2 = 3 at the point (-1,1) intersect the curve again? 2. Find the constants A, B so that if Y=A*sin X + B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points on he

  57. Math - Tangent of a line

    Determine the point on the curve y=x^2(x^3-x)^2 where the tangent line is horizontal.

  58. Calculus

    There are two neighboring points P and Q on the curve f(x)=x^2 (a) Determine m(h), the slope of the straight line PQ (b) The slope, S, of the tangent at P is defined as S=lim h->0 m(h). Find the value of S. (c) Use this value of S to show that the equation

  59. maths

    Find the x-coordinates of all points on the curve y=2sin-sin^2x at which the tangent line is horizontal.

  60. Calculus

    I have a two part question that pertains to a curve (r(x)) and its tangent line at x=3. We are given that at x=3, r(x)=8. In order to find the slope of the tangent line, we are given another point (on the tangent line): (3.2, 8.5). Therefore the slope of

  61. 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? Negative? Zero? 2) Find an equation of the tangent line to the oven curve at the specified point.

  62. calculus

    the tangent line to the curve y=1/3(x^3)-3x^2+11x+15 is parallel to the line 9x-3y=2 at two points on the curve.Find the two points.

  63. calculus

    dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of those points.

  64. calculus

    dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of those points.

  65. calculus

    dy/dx= (2x-2xy)/(x^2+2y) find all points on the curve where x=2. show there is a horizontal tangent to the curve at one of those points.

  66. calculus

    x^2-x^2y=y^2-1 find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of the points.

  67. Math

    In this problem we consider drawing some straight lines which form a nice pattern. Consider joining the point (0.1,0) to the point (0,0.9) by a line segment; then joining (0.2,0) to (0,0.8) by a line segment; and so on. In general, consider joining the

  68. 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 point is far from the

  69. pre calc

    Use the derivative of f(x) = 6x7 + 7x6 to determine any points on the graph of f(x) at which the tangent line is horizontal.

  70. Precalc

    Find the derivative of: f(x) = 1/(3x)^4 + 3x^4 Determine the points, if any, at which the function has a horizontal tangent line y = 5x^3 - 15x^2 y = 2x^3 + 6x^2 thank you!

  71. Calculus

    If F(x)=x^3−7x+5, use the limit definition of the derivative to find FŒ(5), then find an equation of the tangent line to the curve y=x^3−7x+5 at the point (5, 95). FŒ(5)= The equation of the tangent line is y = x + . Check your answer for

  72. Calculus

    Given the function y=(x^2-5/x+3), answer the following questions. a) Find dy/dx. Simplify your answer b) Find the coordinates of any points on the graph of y where the tangent line is horizontal. Show your work. c) Are there any points on the graph of y

  73. calc

    for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o

  74. calculus

    find the x-coordinate of all points on the curve y=12Xcos(5X)-(30*sqrt3*X^2) + 16, pi/5

  75. Calculus

    Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2+7 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 point is far from the

  76. Calc.

    Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under

  77. Calc.

    sketch the curve using the parametric equation to plot the points. use an arrow to indicate the direction the curve is traced as t increases. Find the lenghth of the curve for o

  78. 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 the graph at which the

  79. math

    The equation of a curve is y = x^3 + x^2 - x -1 (a) Determine: (i) the stationary points of the curve; (ii) the nature of the stationary points in (a)(i) above. (b) Determine: (i) the equation of the tangent to the curve at x = 1; (ii) the equation of the

  80. Calculus

    Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to

  81. Calculus

    Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to

  82. Calculus

    Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to

  83. Calculus

    Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to

  84. calculus

    find the points on the curve y=2x^3+3x^2-12x+1 where tangent is horizontal.

  85. calculus

    find an equation of the tangent line to the curve at the given point. graph the curve and the tangent line y=x/x-1 at (2,2) )

  86. calculus

    Find the points on the curve y=(cosx)/(2+sinx) at which the tangent is horizontal.

  87. Calculus - Tangent Line

    Hi, im having problems with the following problem. The main issue is actually starting the problem. Find the two points on the curve y = x^4 - 2x^2 - x that have a common tangent line. First, find the derivative of y(x) so that you know the slope of the

  88. Calculus

    Find an equation of the tangent line to the curve f(x)=-1/x+2 at the points (2, -1/4).

  89. Maths

    I need some help with my maths questions please! What angle does the tangent to the curve y=x^4-x^3+7x make with the positive direction of the x-axis at the point where x=2? Find any x values for which the gradient of the tangent to the curve y=x^2-3x-1 is

  90. calculus

    let x^2 + 4xy + y^2 + 3 = 0 are there any points on the curve where the tangent is horizontal or vertical? justify your answer.

  91. calc

    determine the x-coordinate of the point on the curve y=2x(lnx) at which the tangent line is parallel to the line y=4x+9

  92. Calculus

    Determine the equation of the line perpendicular to the tangent line to the function f(x) = 1/2 (e^x)at the point on the curve where x=ln3.

  93. Calc

    1. Differentiae each function a) Y=-3x^2+5x-4 b) F(x) = 6/x-3/x^2 c) F(x)=(3x^2-4x)(x^3+1) 2. Determine the equation of the tangent line to the curve y=2x^2-1 at the point where x=-2 3. Evaluate, rounding to two decimal places, If necessary a) In 5 b) b)

  94. Math

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t B) Find all values of t where the curve has a horizontal tangent. C) Find all values of t where

  95. Math

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t B) Find all values of t where the curve has a horizontal tangent. C) Find all values of t where

  96. calculus

    how would i go about finding the tangent line to the curve of sqrt(1+4x^2y^2)-3xy=-18 with the points (3,6)?

  97. maths

    In a reference (O, i, j), the points A (-12, 1150) and B (10, -500). The function f is defined on (-20, 10) by: f(x) = x^ 4 +2.25 x^3-44.5x^2-260x+100 We note Cf his(her,its) representative curve. We try to determine all the points of intersection of the

  98. math

    In a reference (O, i, j), the points A (-12, 1150) and B (10, -500). The function f is defined on (-20, 10) by: f(x) = x^ 4 +2.25 x^3-44.5x^2-260x+100 We note Cf his(her,its) representative curve. We try to determine all the points of intersection of the

  99. Calculus HELP

    Determine where (x-value only) on the curve y=1/(2x−1)^2 where the tangent line will be perpendicular to the line defined by 2x+y−1=0. we haven't learned this in the curriculum so damon i would love your help rn

  100. calculus

    find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal

Pages

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20