How do I find the tangent line of a function?

1 Answer
Sep 28, 2014

You find the tangent line of a function by finding the derivative, the slope, of that function at a specific point.

That point is called the point of tangency.

Substitute that point and the derivative into the slope intercept formula, #y=mx+b#, to find the #y#-intercept.

Lastly, the equation of the tangent line is found by substituting in the derivative and #y#-intercept into the slope intercept formula, #y=mx+b#.