Overall+Explanation

General Overview

When finding the equation of a tangent line, we must first find the derivative of the original equation. The result is our general slope for the tangent line. To find the specific slope, substitute the given x-value to find the specific slope at that point. After the specific slope is found, we use the point-slope formula (y - y 1 ) = m(x - x 1 ) - where x 1 and y 1 are the coordinates, and m is the slope - to find the equation of the tangent line.

Basically, we need to find the derivative of the original function, plug in the x-value given into the derivative obtained to find the specific slope at that x-value, and we use point-slope formula with our given point and solve for y. The end result is the equation of the tangent line.

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