# Derivatives: definition and basic rules

## Average vs. instantaneous rate of change

### Practice

Secant lines & average rate of changeGet 3 of 4 questions to level up!
Derivative as slope of curveGet 3 of 4 questions to level up!
The derivative & tangent line equationsGet 3 of 4 questions to level up!

## Estimating derivatives

### Practice

Estimate derivativesGet 3 of 4 questions to level up!

## Differentiability

### Practice

Differentiability at a point: graphicalGet 3 of 4 questions to level up!
Differentiability at a point: algebraicGet 3 of 4 questions to level up!

## Power rule

### Practice

Power rule (positive integer powers)Get 3 of 4 questions to level up!
Power rule (negative & fractional powers)Get 3 of 4 questions to level up!
Power rule (with rewriting the expression)Get 3 of 4 questions to level up!

## Derivative rules: constant, sum, difference, and constant multiple

### Practice

Basic derivative rules: find the errorGet 3 of 4 questions to level up!
Basic derivative rules: tableGet 3 of 4 questions to level up!

## Combining the power rule with other derivative rules

### Practice

Differentiate polynomialsGet 3 of 4 questions to level up!
Tangents of polynomialsGet 3 of 4 questions to level up!

## Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)

### Practice

Derivatives of sin(x) and cos(x)Get 3 of 4 questions to level up!
Derivatives of 𝑒ˣ and ln(x)Get 5 of 7 questions to level up!