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AP Calculus AB 2.8 Product Rule Question Bank

Practise AP Calculus AB 2.8 questions by applying the product rule to products of differentiable functions.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • identify the two factors in a product before differentiating
  • apply the product rule and simplify the resulting derivative

Covered syllabus points

FUN-3.B—Calculate derivatives of products and quotients of differentiable functions

2.8 The Product Rule question 1

Table for Question 2.8 The Product Rule question 1 — AP Calculus AB

5. Let f be the function whose graph is shown above; the graph of f consists of

three line segments.

Let g be a differentiable function. The table above gives values of g and its

derivative g′g^{\prime} at various values of x.

Table for Question 2.8 The Product Rule question 1 — AP Calculus AB

(c) Let q be the function defined as q(x)=f(−3x)⋅g(−2x)q(x)=f(-3 x) \cdot g(-2 x). Find q′(−1)q^{\prime}(-1).

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