How to find the slope of a tangent line

To find the slope of the tangent line, first we must take the derivative of , giving us . Next we simply plug in our given x-value, which in this case is . This leaves us with a slope of .

Rewrite in slope-intercept form, .

The slope of the tangent line is .

Write the formula for slope-intercept form.

The slope of is always zero at every point on the domain. Therefore, the slope at must also be zero.