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AP Calculus AB Unit 2: Differentiation and Fundamental Derivative Rules — practice questions — page 4

Explore 93 free Unit 2: Differentiation and Fundamental Derivative Rules questions in AP Calculus AB Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 2: Differentiation and Fundamental Derivative Rules questions and exercises with answers

Showing questions 91–93 of 93.

The common difference of the AP 3, 1, −1, −3, … is:Read the answer and worked solution →A polynomial of degree 2 is called a:Read the answer and worked solution →$\sin(180° - \theta)$ equals:Read the answer and worked solution →

Worked practice questions

The common difference of the AP 3, 1, −1, −3, … is:

  1. −1
  2. −2
  3. 2
  4. −3
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Correct answer: B. −2

1−3 = −2, so d = −2.

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A polynomial of degree 2 is called a:

  1. biquadratic polynomial
  2. cubic polynomial
  3. quadratic polynomial
  4. linear polynomial
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Correct answer: C. quadratic polynomial

Degree 2 ⟹ quadratic polynomial.

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$\sin(180° - \theta)$ equals:

  1. $-\cos\theta$
  2. $-\sin\theta$
  3. $\sin\theta$
  4. $\cos\theta$
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Correct answer: C. $\sin\theta$

Supplementary-angle identity: $\sin(180° - \theta) = \sin\theta$. Reason: sine is positive in the second quadrant (where $180° - \theta$ lies for $0° < \theta < 180°$), and the reference angle is $\theta$. Companion identities: - $\cos(180° - \theta) = -\cos\theta$ - $\tan(180° - \theta) = -\tan\theta$

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More Mathematics topics

Unit 3B: Implicit Differentiation and Inverse FunctionsUnit 3A: Chain Rule and Composite FunctionsUnit 1A3: Function Composition and InversesUnit 1A1: Relations, Functions and GraphsUnit 1A2: Trigonometric Functions & Inverse TrigUnit 6A: Indefinite Integrals & Fundamental TheoremUnit 1B3: Asymptotic Behavior and Infinite LimitsUnit 1B1: Limit Concepts and Graphical Limits