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Math Help - Equation of tangent line

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    Equation of tangent line

    I have a homework question in which im supposed to find an equation of the tangent line to the graph at the point (1, f(1)). How would i do this>> I found the derivative and found the zeros of the derivative (which are the points on the graph at which the tangent line is horizontal) How do i use this to find it at (1, f(1))? Thank you!
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    Quote Originally Posted by nascar77 View Post
    I have a homework question in which im supposed to find an equation of the tangent line to the graph at the point (1, f(1)). How would i do this>> I found the derivative and found the zeros of the derivative (which are the points on the graph at which the tangent line is horizontal) How do i use this to find it at (1, f(1))? Thank you!
    equation of the tangent line at the point (1, f(1)) is ...

    y - f(1) = f'(1)(x - 1)
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  3. #3
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    substitute 1 into the derivitive and this will give you the gradient. use that value as m in y=mx+c and also substitute in your x and y values (1;f(1)) to solve for c.
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