Calculus

# Differentiation: definition and basic derivative rules

- Defining average and instantaneous rates of change at a point
- Defining the derivative of a function and using derivative notation
- Estimating derivatives of a function at a point
- Connecting differentiability and continuity: determining when derivatives do and do not exist
- Applying the power rule
- Derivative rules: constant, sum, difference, and constant multiple: introduction
- Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
- Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)
- The product rule
- The quotient rule
- Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions

## Explore other Calculus Topics

GQ

Calculus

## General Calculus Q&A

2 Sessions

Lc

Calculus

## Limits and continuity

10 Sessions

Dr

Calculus

## Differentiation: definition and basic derivative rules

11 Sessions

Df

Calculus

## Differentiation: composite, implicit, and inverse functions

4 Sessions

Cd

Calculus

## Contextual applications of differentiation

6 Sessions

Af

Calculus

## Applying derivatives to analyze functions

2 Sessions

Ic

Calculus

## Integration and accumulation of change

1 Session

De

Calculus

## Differential equations

1 Session

Ai

Calculus

## Applications of integration

6 Sessions

Pf

Calculus

## Parametric equations, polar coordinates, and vector-valued functions

1 Session

Is

Calculus

## Infinite sequences and series

1 Session

AC

Calculus

## AP Calculus

70 Sessions