From Limits to IntegralsβComplete Exam Prep with Lectures and Walkthroughs
What you will learn
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Define and evaluate limits algebraically and graphically
Identify types of discontinuities and determine continuity of functions
Compute derivatives using fundamental differentiation rules
Apply implicit differentiation to solve complex equations
Differentiate trigonometric, exponential, and logarithmic functions
Use derivatives to analyze and graph functions (increasing/decreasing, concavity, extrema)
Solve optimization and related rates problems
Interpret the derivative in motion problems (velocity and acceleration)
Compute definite and indefinite integrals using basic techniques
Apply the Fundamental Theorem of Calculus to evaluate integrals
Use u-substitution for integration
Calculate areas under curves and between functions
Solve accumulation and net change problems
Analyze motion using integrals (position, velocity, displacement)
Solve basic separable differential equations
Interpret slope fields and their connections to differential equations
Develop problem-solving strategies for multiple-choice and free-response questions
Improve time management and test-taking skills
Complete practice exams to build confidence and readiness
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