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Help with tangents

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    Show that the equation of the tangent to the curve y = e(x/x+1) at the point where x = 0 is y = x +1

    You have to take the derivative of the curve in order to find the slope of the tangent at x=0.

    You differentiate y=e[e/(x+1)], find the gradient of the tangent first.

    Then you find a point that lies on the curve with the original equation, and use that to find c in y=mx+c, which should equal y=x+1 according to you.
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Updated: September 15, 2016
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