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Math Help - tangent line

  1. #1
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    tangent line

    The slope of the tangent line to the parabola 3x^2+3x+3 at the point (1,9) is : ???????

    The equation of this tangent line can be written in the form y=mx+b where m is: ????
    and where b is: ?????

    I found the antiderivative of the equation and plugged in 1...is that right? I need help on this problem!!!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by MathNeedy18 View Post
    The slope of the tangent line to the parabola 3x^2+3x+3 at the point (1,9) is : ???????

    The equation of this tangent line can be written in the form y=mx+b where m is: ????
    and where b is: ?????

    I found the antiderivative of the equation and plugged in 1...is that right? I need help on this problem!!!
    you need to use the derivative not the antiderivative

    Let f(x) = 3x^2 + 3x + 3
    then,

    m = f'(1)

    and the tangent line at (1,9) is: y - 9 = m(x - 1) and rearrange it to get the desired form
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