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What are the product rule and quotient rule for differentiating functions $u(x)$ and $v(x)$?

Lernkarte aus dem Deck CSAT (Suneung) essentials: original practice.

Antwort

Product: $(uv)' = u'v + uv'$; Quotient: $\left(\frac{u}{v}\right)' = \frac{u'v - uv'}{v^2}$ ($v \neq 0$).

Erklärung

These rules derive directly from the definition of the derivative and are foundational across CSAT differential calculus questions.

Synthetischer Inhalt · Redaktion: Ada