The **Differential Calculus Math Mission** is a set of skills on Khan Academy. This mission consists of the standard skills from a Differential Calculus course.

## Mission Specifics

### Mission Foundations

- Comparing features of functions
- Adding and subtracting rational expressions 7
- Modeling with composite functions
- Manipulating formulas
- Modeling with periodic functions 2
- Graphs of trigonometric functions
- Identifying slope of a line

### Limits

- Finding limits numerically
- One-sided limits from graphs
- Two-sided limits from graphs
- Two-sided limits using algebra
- Two-sided limits using advanced algebra
- Continuity
- Limits at infinity where f(x) is unbounded
- Limits at infinity where x is unbounded
- Squeeze theorem

### Taking derivatives

- Special derivatives quiz
- Slope of secant lines
- Tangent slope is limiting value of secant slope
- The formal and alternate form of the derivative
- Derivative intuition
- Recognizing slope of curves
- Graphs of functions and their derivatives
- Visualizing derivatives
- Symbolic differentiation
- Power rule (basic)
- Power rule (advanced)
- Special derivatives
- Chain rule on two functions
- Chain rule on three functions
- Product rule
- Quotient rule
- Combining the product and chain rules
- Implicit differentiation
- Derivatives of inverse functions
- Logarithmic differentiation

### Derivative applications

- Applications of derivatives: Tangent and normal lines
- Applications of derivatives: Motion along a line
- Critical numbers
- Extreme values from graphs
- Extreme value theorem
- Recognizing concavity
- Concavity and the second derivative
- Second derivative test
- Optimization
- Applications of differentiation in biology, economics, physics, etc.
- Related rates
- Mean value theorem
- L'Hopital's rule
- Local linearization

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