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Math Help - Tangent Line

  1. #1
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    Tangent Line

    If the tangent line y = f(x) at (3,3) passes through the point (7,19) then f '(3) would be 4.

    Is this correct?
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  2. #2
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    Looks good to me. How did you arrive at that answer?
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  3. #3
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    (19 - 3)/(7 - 3) = 4. I just wanted to make sure I wasn't getting presumptuous, haha.
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  4. #4
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    Yep, that's what I'd have done.

    Have a good one!
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  5. #5
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    Can you check this one as well, please?

    Find an equation of the tangent line to the parabola y = 6x^2 - 7x at the point (5,115). Leave your equation in solved for y form.


    I differentiated and input x to get my slope, and ended up with y = 53x - 150. Is this correct?
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  6. #6
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    Looks good to me.
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