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View Full Version : Write an equation for the line tangent to the graph of f(x)= lnx/x at x=e^2?


lmichiko
Oct 24, 2010, 11:06 PM

Unknown008
Oct 24, 2010, 11:49 PM
f(x) = \frac{ln(x)}{x}

The gradient of the graph is given by f'(x) (Hint: use the quotient rule)

The gradient of the graph at x = e^2 is given by f'(e^2)

The y coordinate at the point where x = e^2 is given by f(e^2)

Now, you have the coordinates of a point and a gradient at that point. That is enough to find the equation of the tangent.

Post what you get! :)