Average Velocity
Key Questions

Average velocity is defined as total displacement/ total time taken for that
Given,
#s=3t^2 6t# So,displacement in between
#2s# and#5s# is#s=3[t^2]_2^5 6[t]_2^5=3(254)6(52)=45m# So,average velocity =
#45/(52)=15 ms^1#
Questions
Derivatives

Tangent Line to a Curve

Normal Line to a Tangent

Slope of a Curve at a Point

Average Velocity

Instantaneous Velocity

Limit Definition of Derivative

First Principles Example 1: x²

First Principles Example 2: x³

First Principles Example 3: square root of x

Standard Notation and Terminology

Differentiable vs. Nondifferentiable Functions

Rate of Change of a Function

Average Rate of Change Over an Interval

Instantaneous Rate of Change at a Point