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AP Calculus AB 2.8 The Product Rule Questions

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

Question 1

Table for 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 1 — AP Calculus AB

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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