Skill: derivative-rules
Derivative Rules Tutor Help
The three rules that differentiate almost everything: the product rule for multiplied chunks, the quotient rule for fractions, and the chain rule for functions inside functions. Master these and every derivative becomes bookkeeping.
1 Concept recap
The essentials of Product, Quotient & Chain Rules, on one screen.
Rule 1 Product rule
(fg)′ = f′g + fg′ — use when two expressions in x are multiplied.
Rule 2 Quotient rule
(f/g)′ = (g·f′ − f·g′)/g2 —
“low d-high minus high d-low, over low squared.”
Rule 3 Chain rule
d/dx[F(u(x))] = F′(u) · u′(x) — outer′ times inner′. Never drop the inner derivative.
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