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Math Help - Equations of tangent and normal to a curve

  1. #1
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    Exclamation Equations of tangent and normal to a curve

    I'm lost on the sequence of doing this

    Find the tangent and normal to the curves at the points indicated
    y=2x^2-4x+1 where the gradient is 4
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by chibiusagi View Post
    I'm lost on the sequence of doing this

    Find the tangent and normal to the curves at the points indicated
    y=2x^2-4x+1 where the gradient is 4
    ok, so we know that the gradient of the normal line is -1/4. so let's tuck that away to use it later.

    we are concerned with the point where f'(x) = 4, find that point. when you have that point, you can find the two lines using the point-slope form:

    y - y_1 = m(x - x_1)

    where m is the slope of the line (m is 4 for the tangent and -1/4 for the normal) and (x_1,y_1) is a point where the line passes through, namely, the point i asked you to find. now continue
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