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Thread: finding tangent line

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    finding tangent line

    find an equation of the tangent line at the given point P.

    y= 3x^2 + 5x -7, P(-2, -5)
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    Quote Originally Posted by teresa View Post
    find an equation of the tangent line at the given point P.

    y= 3x^2 + 5x -7, P(-2, -5)
    step 1 ... find y'(x)

    step 2 ... using y'(x), find the value of the slope of the curve at point P, i.e. y'(-2)

    step 3 ... using the slope found in step 2 and the coordinates of the given point P, use the point-slope form of a linear equation to find the equation of the tangent line.

    \textcolor{red}{y - y_1 = m(x - x_1)}
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