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    calculus

    Unit 1

    Limits and Continuity

    Techniques for Evaluating Limits
    Limits at Infinity and Horizontal Asymptotes
    Introduction to Limits
    Intermediate Value Theorem
    Continuity

    Unit 2

    Derivatives

    Chain Rule
    Higher Order Derivatives
    The Definition of the Derivative
    Related Rates
    Implicit Differentiation
    Basic Differentiation Rules
    Product and Quotient Rules

    Unit 3

    Applications of Derivatives

    L'Hopital's Rule
    Concavity and Inflection Points
    Optimization Problems
    Maximum and Minimum Values
    Increasing and Decreasing Functions
    Mean Value Theorem

    Unit 4

    Integrals

    Fundamental Theorem of Calculus
    Trigonometric Integrals
    Antiderivatives and Indefinite Integrals
    The Definite Integral
    Integration by Parts
    Partial Fractions
    Trigonometric Substitution
    Substitution Rule

    Unit 5

    Applications of Integration

    Arc Length
    Area Between Curves
    Volumes by Cylindrical Shells
    Surface Area
    Volumes by Slicing
    ;

    Unit 4 • Chapter 6

    Partial Fractions

    Summary

    The video discusses the concept of "job security" in the modern workforce and argues that traditional notions of lifetime employment are outdated. It highlights the increasing prevalence of contract work, freelancing, and automation, which have contributed to a more fluid and less predictable job market. The speaker emphasizes the importance of developing skills that are transferable and in demand, as well as cultivating a mindset of continuous learning and adaptation. Instead of relying on a single employer for long-term security, individuals should focus on building their own personal brand, networking, and diversifying their income streams. The video suggests that true security comes from adaptability, resilience, and a proactive approach to managing one's career in a constantly evolving landscape. Embracing change and focusing on skill development are presented as key strategies for thriving in the new world of work.

    Concept Check

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