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AP Calculus BC Formula Sheet
Limits and Continuity
One-sided limits
x slightly greater than a then f(x) is close to l
x slightly less than a then f(x) is close to l
Sum of the limits
Difference of the limits
Multiple of the limits
Product of the limits
The quotient of the limits
Derivatives
Power rule
Exponential rule
Logarithmic rule
Product rule
Quotient rule
Chain rule
Sum rule
Difference rule
Constant multiple rule
Derivatives of Trigonometric Functions and Chain Rule
Chain Rule
Derivatives of Exponential and Logarithmic Function
Applications of Derivatives
The Mean Value Theorem
Integrals and the Fundamental Theorem of Calculus
Trapezoidal Rule
Definite Integral
Applications of Definite Integrals
Integral as Net Change
Improper Integrals
L'Hospital's Rule
Calculus with Parametrics, Vectors, and Polars
Derivatives of Parametric Equations
Differential Equations
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