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  • MA101: Single-Variable Calculus I
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  • Course Introduction
  • Unit 1: Analytic Geometry
  • Unit 2: Instantaneous Rate of Change: The Derivative
  • Unit 3: Rules for Finding Derivatives
  • Unit 4: Transcendental Functions
  • Unit 5: Curve Sketching
  • Unit 6: Applications of the Derivative
  • Unit 7: Integration
  • Unit 8: Applications of Integration
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MA101: Single-Variable Calculus I

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  • Unit 4: Transcendental Functions

    In this unit, you will investigate the derivatives of trigonometric, inverse trigonometric, exponential, and logarithmic functions. Along the way, you will develop a technique of differentiation called implicit differentiation. Aside from allowing you to compute derivatives of inverse function, implicit differentiation will also be important in studying related rates problems later on.

    Completing this unit should take you approximately 17 hours.

    • Unit 4 Learning Outcomes Page
    • 4.1: Trigonometric Functions

    • 4.2: The Derivative of Sine

    • 4.3: A Hard Limit

    • 4.4: The Derivative of Sine, Continued

    • 4.5: Derivatives of the Trigonometric Functions

    • 4.6: Exponential and Logarithmic Functions

    • 4.7: Derivatives of the Exponential and Logarithmic Functions

    • 4.8: Implicit Differentiation

    • 4.9: Inverse Trigonometric Functions

    • 4.10: Limits Revisited

    • 4.11: Hyperbolic Functions

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