What is the derivative of f(x) = 4x^3 + 8x + 8?
Difficulty: Medium
About this MCQ
Medium AP Exams item. Correct choice: C. 12x^2 + 8.
- A. 12x^3 + 8
Why not A: “12x^3 + 8” is not 12x^2 + 8.
- B. 12x^2
Why not B: “12x^2” is not 12x^2 + 8.
- C. 12x^2 + 8 ✓
- D. 4x^2 + 8
Why not D: “4x^2 + 8” is not 12x^2 + 8.
Correct answer
C. 12x^2 + 8
Explanation
12x^2 + 8 is the value that answers “What is the derivative of f(x) = 4x^3 + 8x + 8” (option C). Option A (12x^3 + 8) is a different value from 12x^2 + 8. Option B (12x^2) is a different value from 12x^2 + 8. Option D (4x^2 + 8) is a different value from 12x^2 + 8. Keep 12x^2 + 8 as the AP Exams fact for this stem.
Source: Original practice question, MCQsHub
Tags: AP Calculus, Derivatives, derivative MCQ, derivative calculation MCQ, find derivative MCQ, derivative questions, calculus MCQs
Submitted by: MCQsHub Editorial