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Unit 2: Differentiation: Definition and Fundamental Properties

  1. Defining Average and Instantaneous Rates of Change
  2. Secant Lines Becoming the Tangent Line
  3. Defining the Derivative and Using Derivative Notation
  4. The Derivative as a Function
  5. Estimating Derivatives of a Function at a Point
  6. Connecting Differentiability and Continuity
  7. Where Derivatives Fail to Exist
  8. Applying the Power Rule
  9. The Power Rule with Negative and Fractional Exponents
  10. Derivative Rules: Constant, Sum, Difference, and Constant Multiple
  11. Derivatives of cos x, sin x, e^x, and ln x
  12. The Product Rule
  13. The Quotient Rule
  14. Finding the Derivatives of Tangent, Cotangent, Secant, and Cosecant

AP® Calculus AB · Unit 2 · Topic 2.10

Finding the Derivatives of Tangent, Cotangent, Secant, and Cosecant

Watch it drawn3 questionsPractice

Watch it explained

  1. How it worksHow does the quotient rule on sine over cosine produce sec squared?→
  2. Worked exampleFind the derivative of f(x) = sec(x) tan(x) using the product rule.→
  3. Worked exampleFind the derivative of 3 tan(x) - 2 csc(x) at x = π/4.→

Check yourself

Your turn1 of 3
Find the derivative of f(x) = 4 sec(x) tan(x).

End of topic.

Next: The Chain Rule →
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