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AP Calculus

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2. General Derivative Rules<br />

a. Sum<br />

b. Difference<br />

c. Multiplying by a Constant<br />

3. Higher Order Derivatives<br />

4. Acceleration<br />

D. Product and Quotient Rules<br />

1. Product<br />

2. Quotient<br />

3. Applications<br />

E. Chain Rule<br />

F. Derivatives of Trigonometric Functions and Applications<br />

1. Derivatives of the Six Trigonometric Functions<br />

2. Applications<br />

a. Spring-Mass System<br />

b. Simple Electrical Circuit<br />

3. Equation of a Tangent Line<br />

G. Derivatives of Exponential and Logarithmic Functions<br />

1. Exponential Function<br />

2. Natural Logarithm<br />

3. Logarithmic Differentiation<br />

H. Implicit Differentiation<br />

1. First and Second Derivatives Found Implicitly<br />

2. Derivatives of the Inverse Trigonometric Functions<br />

I. Mean Value Theorem<br />

1. Rolle’s Theorem<br />

2. Mean Value Theorem

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