# Equation of tangent line to a curve

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Find the equation of the tangent line to the graph of the function f(x) = x + (4/x) at the point (4, 5).

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:32 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/equation-of-tangent-line-to-a-curve-52876

#### Solution Preview

We will find the point-slope form of the equation of the tangent line to the graph of the function f(x) = x + (4/x) at the indicated point.

The point-slope form of a line is y - y_0 = m*(x - x_0), where (x_0, y_0) are the coordinates of a specific point on the line and m is the slope of the line.

The indicated ...

#### Solution Summary

The equation of the tangent line to the graph of the given function at the given point is provided, along with a detailed explanation of how it can be determined.

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