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Derivative applications

Use derivatives to find slopes and extrema.

M7 · Expert
Name: ______________________________ Class: ____________ Date: ____________

Loxivia · Oct 16, 2026 · 8 questions

Warm-up

  1. Derivatives application — practice 1 — Answer the quick questions.
  2. Derivatives application — practice 2 — Answer the quick questions.
  3. Derivatives application — practice 3 — Answer the quick questions.
  4. Derivatives application — practice 4 — Answer the quick questions.

Practice

  1. 1. What is the slope of y = x² at x = 5? (Derivative applications)

    a) 25 b) 5 c) 10 d) 12
  2. 2. The derivative of x² is x. (Derivative applications)

    a) False b) True
  3. 3. What is 14 × 17? (Derivative applications)

    = ______________________

  4. 4. What is the slope of y = x² at x = 8? (Derivative applications)

    a) 18 b) 16 c) 8 d) 64
  5. 5. What is 10 × 2? (Derivative applications)

    = ______________________

  6. 6. What is the slope of y = x² at x = 7? (Derivative applications)

    a) 7 b) 14 c) 16 d) 49
  7. 7. What is the slope of y = x² at x = 5? (Derivative applications)

    a) 10 b) 12 c) 25 d) 5
  8. 8. What is the slope of y = x² at x = 4? (Derivative applications)

    a) 8 b) 4 c) 16 d) 10

Answer key

1. 10 2. False 3. 238 4. 16 5. 20 6. 14 7. 10 8. 8

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