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CLEP Calculus Topics

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video
Limits
Introduction to Calculus - Limits
Finding limits from graphs
Limit laws
Continuity
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Infinite limits - vertical asymptotes
Limits at infinity - horizontal asymptotes
Intermediate value theorem
video
Derivatives
Definition of derivative
Estimating derivatives from a table
Power rule
Slope and equation of tangent line
Chain rule
Derivative of trigonometric functions
Derivative of exponential functions
Product rule
Quotient rule
Implicit differentiation
Derivative of inverse trigonometric functions
Derivative of logarithmic functions
Higher order derivatives
video
Applications of the Derivative
Position velocity acceleration
Critical number & maximum and minimum values
l'Hospital's rule
Curve sketching
Related rates
Mean value theorem
Linear approximation
video
Integrals
Antiderivatives
Riemann sum
Definite integral
Fundamental theorem of calculus
video
Integration Techniques
U-Substitution
Integration using trigonometric identities
Trigonometric substitution
video
Integration Applications
Areas between curves
Average value of a function
Arc length

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