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Calculus · Lesson 4 · The product rule

Find the derivative

f(x) = x² · sin x

  1. Use the product rule: (uv)′ = u′v + uv′
  2. u = x², u′ = 2x  ·  v = sin x, v′ = cos x
  3. f′(x) = 2x·sin x + x²·cos x
Correct — nice work
2x + 5 = 17Algebra sin²θ + cos²θ = 1Pre-Calc ∫ 2x dx = x² + CCalculus

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