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Mathematics 13 Online
OpenStudy (laviajmani):

Find the equation of the line tangent to the curve f(x) = e^x/1+(3e^x) at x=0

OpenStudy (sweetburger):

You need to begin by taking the first derivative of the function. Then once you have determined the first derivative you can substitute x=0 for x in the equation of the first derivative.

OpenStudy (sweetburger):

This will give you the slope of the tangent line to the curve at x=0.

OpenStudy (sweetburger):

To find the coordinates of x=0 plug in x=0 into the original function to determine the y value.

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