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Math Help - Find the equation of the tangent to the curve

  1. #1
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    Find the equation of the tangent to the curve

    Find the equation of the tangent to the curve y = ln(3x − 2) at the point where x = 1. I differentiated this and got 3/3x-2, whats my next step?
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    Re: Find the equation of the tangent to the curve

    Quote Originally Posted by johnreal View Post
    Find the equation of the tangent to the curve y = ln(3x − 2) at the point where x = 1. I differentiated this and got 3/3x-2, whats my next step?
    to find the equation of a line tangent to a curve defined by f(x) at x = a ...

    1. you need the point of tangency on the curve, (a, f(a))

    2. you need the value of the slope of the curve at the point of tangency , m = f'(a)

    3. now that you have a point (a,f(a)) and a slope, m = f'(a) , write the equation in point-slope form ...

    y - f(a) = f'(a)(x - a)
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