1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Equation ofthe tangent

  1. May 19, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine the equation of the tangent line and the equation of the normal line to the curve y at the point (-2,-5)

    y=1+x+x^2


    3. The attempt at a solution
    y=1+x-x^2 point (-2,-5)

    y=1+x-x^2
    y=1-2x

    sub in -2 for x
    y=1-2(-2)y=1+4
    y=5

    then i use the formula y-y1=m(x-x1) to find the tangent
    y+5=5(x+20
    y+5=5x+10
    y=5x+5

    5x-y+5=0 (equation of the tangent)

    im wondering is this right?
    and how do i go about finding the equation of the normal line?
     
  2. jcsd
  3. May 19, 2010 #2

    Mark44

    Staff: Mentor

    This should be y' = 1 - 2x or dy/dx = 1 - 2x
    This is the value of the derivative at x = -2.
    Typo above. You hit 0 instead of ).
    Either equation above is correct.
    To check, is (-2, -5) a point on the line? Is the slope of the line 5? If the answer is yes to both questions, you have the right tangent line.
    What will be the slope of the normal line? This line must also go through the point (-2, -5). If you have the slope and a point on the line, you can do as you did before to find its equation.

    Your computations were correct, but you didn't distinguish between y in your original curve and y' (or dy/dx), which is the derivative function. It's very important that you understand the difference between a function and its derivative, and that your work shows that you know the difference.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Equation ofthe tangent
  1. Equation of a tangent (Replies: 2)

  2. Equations of tangents (Replies: 10)

  3. Equation of Tangent (Replies: 1)

  4. Equation of tangent (Replies: 2)

  5. Equation of tangents (Replies: 11)

Loading...