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Math Help - Find the equation of the normal to the curve at the point (1,49)

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    Find the equation of the normal to the curve at the point (1,49)

    c) Find the equation of the normal to the curve at the point (1,49)
    The slope of the tangent at x=1 is



    The normal is perpendicular to the tangent, hence invert and negate the tangent slope


    The slope of the normal is -1/45 and the normal contains the point (1,49)

    Hence, the normal equation at that point is

    How do i know the slope of the normail is -1/45?
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  2. #2
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    Quote Originally Posted by ansonbound View Post
    c) Find the equation of the normal to the curve at the point (1,49)

    How do i know the slope of the normail is -1/45?
    Because the normal is defined as being perpendicular to the tangent and for two perpendicular lines m_1m_2 = -1
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