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Math Help - Tangent lines and derivatives Help!

  1. #1
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    Tangent lines and derivatives Help!

    I can solve derivatives alright but I don't understand tangent lines at all.
    Find the equation of the tangent line to the curve at the point . The equation of this tangent line can be written in the form
    where m is?
    And b is?
    I solved the derivative down to
    6[2sin(x)+sec(x)tan(x)]
    I think this is right and hopefully you needed to solve the derivative.
    Thanks to anyone who can help
    Casas4
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  2. #2
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    If f is differentiable at x_0 then the equation of the tangent line at <br />
\left( {x_0 ,f\left( {x_0 } \right)} \right) is y = f'\left( {x_0 } \right)\left( {x - x_0 } \right) + f\left( {x_0 } \right).
    Note that f'\left( {x_0 } \right) is the slope of the tangent line.
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  3. #3
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    still confused

    do i plug in (pi/3,6) with the equation y-y1=m(x-X1)? If so how do you turn the derivative in to an equation?
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  4. #4
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    Quote Originally Posted by Casas4 View Post
    do i plug in (pi/3,6) with the equation y-y1=m(x-X1)? If so how do you turn the derivative in to an equation?
    By asking that question, you have told me that you need some real help that is beyond an “On-Line” environment.
    You need a sit-down with a live instructor.
    Please ask your instructor to help you.
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