# AP Calculus BC Help & Practice!

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##### 1Limits & Continuity

##### 2Derivatives

- 2.1Definition of derivative
- 2.2Estimating derivatives from a table
- 2.3Power rule
- 2.4Chain rule
- 2.5Derivative of trigonometric functions
- 2.6Derivative of exponential functions
- 2.7Derivative of logarithmic functions
- 2.8Product rule
- 2.9Quotient rule
- 2.10Derivative of inverse trigonometric functions
- 2.11Implicit differentiation
- 2.12Higher order derivatives

- 2.1Definition of derivative
##### 3Derivative Applications

##### 4Integrals

##### 5Integration techniques

##### 6Integral Applications

- 6.1Average value of a function
- 6.2Areas between curves
- 6.3Area of polar curves
- 6.4Volumes of solids with known cross-sections
- 6.5Volumes of solids of revolution - Disc method
- 6.6Volumes of solids of revolution - Shell method
- 6.7Arc length and surface area of parametric equations
- 6.8Arc length of polar curves

- 6.1Average value of a function
##### 7Differential Equations

##### 8Sequence and Series

- 8.1Introduction to sequences
- 8.2Introduction to infinite series
- 8.3Convergence and divergence of normal infinite series
- 8.4Convergence and divergence of geometric series
- 8.5Divergence of harmonic series
- 8.6P Series
- 8.7Alternating series test
- 8.8Divergence test
- 8.9Comparison and limit comparison test
- 8.10Integral test
- 8.11Ratio test
- 8.12Absolute and conditional convergence
- 8.13Radius and interval of convergence with power series
- 8.14Functions expressed as power series
- 8.15Taylor and maclaurin series
- 8.16Approximating functions with Taylor polynomials and error bounds

- 8.1Introduction to sequences