Concepts and Applications

• Second derivative

• Local extreme values and extreme points

• Global extreme values and extreme points

• Zeros and roots

• Critical values and points

• Inflection points

• Newton's Method

• Product Rule

• Chain Rule

• Inverse Function Rule

• General Power Rule

• Implicit differentiation

• Derivative of the natural logarithm function

• Differential

• Differential approximation

Applications

• Minimal production cost

• Growth rate of energy consumption

• Path of reflected light

• Volume of the Earth's crust