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AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions

Practise product-rule questions by identifying factors, differentiating each factor and combining the terms.

Syllabus
Effective Fall 2020
Course
AP Calculus AB

Exam points

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

AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions question 1

Table for Question AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions 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 AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions 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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