Differentiation from First Principles

Definitions

A tangent is a line that touches a curve at one point without crossing it.

A secant is a line that passes through two points on a curve.

To find the derivative function (𝑓(𝑥)) of any function at any x-value:

𝑓(𝑥)=lim0𝑓(𝑥+)𝑓(𝑥)