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Product rule | Derivative rules | AP Calculus AB | Khan Academy

video
  • Explanation → Derivatives
    EvidenceConnection evidence is not yet available in this language.
  • Explanation → Derivatives
    EvidenceApply the product rule to differentiate a product of two functions: differentiate one factor, keep the other, then add the complementary term. Khan Academy demonstrates the complete example x² sin x, obtaining 2x sin x+x² cos x with consistent colors for the two factors. The lesson teaches application rather than a proof of the general rule. Editorial notes state the differentiability conditions and the use of radians for trigonometric derivatives.

Derivatives

concept
  • Explanation → Product rule | Derivative rules | AP Calculus AB | Khan Academy
    EvidenceConnection evidence is not yet available in this language.
  • Explanation → Product rule | Derivative rules | AP Calculus AB | Khan Academy
    EvidenceApply the product rule to differentiate a product of two functions: differentiate one factor, keep the other, then add the complementary term. Khan Academy demonstrates the complete example x² sin x, obtaining 2x sin x+x² cos x with consistent colors for the two factors. The lesson teaches application rather than a proof of the general rule. Editorial notes state the differentiability conditions and the use of radians for trigonometric derivatives.