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Business Calculus Topics

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video
Limits and Continuity
Introduction to Calculus - Limits
Finding limits from graphs
Limit Laws
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Squeeze Theorem
l'Hospital's Rule
Infinite limits - vertical asymptotes
Limits at infinity - horizontal asymptotes
Continuity
Intermediate value theorem
video
Derivatives
Definition of derivative
Estimating derivatives from a table
Power rule
Chain rule
Derivative of trigonometric functions
Derivative of exponential functions
Derivative of logarithmic functions
Product rule
Quotient rule
Derivative of inverse trigonometric functions
Implicit differentiation
Higher order derivatives
video
Derivative Applications
Slope and equation of tangent line
Critical number & maximum and minimum values
Curve sketching
Rolle's theorem
Mean value theorem
Rectilinear motion: derivative
Related rates
Optimization
Linear approximation
Quadratic approximation
video
Business Derivative Application
Demand, revenue, cost & profit
Marginal revenue, and maximizing revenue & average revenue
Marginal cost, and minimizing cost & average cost
Marginal profit, and maximizing profit & average profit
Elasticity of demand
Continuous compound interest
video
Integrals
Antiderivatives
Riemann sum
Definite integral
Fundamental theorem of calculus
video
Integration Techniques
U-Substitution
Integration using trigonometric identities
Trigonometric substitution
Integration by parts
Integration of rational functions by partial fractions
Numerical Integration
video
Integral Applications
Average value of a function
Area between curves
Volume of solids with know cross-sections
Volume of solids of revolution - Disc method
Volume of solids of revolution - Shell method
video
Business Integral Application
Consumer and producer surplus
Continuous money flow

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