M7 · Expert
Calculus
Sum, product and quotient rules
Formula
(uv)' = u'v + uv' ; (u/v)' = (u'v - uv') / v^2
Rule
Differentiate sums term by term; use the product and quotient rules for combinations.
Example
d/dx (x^2 sin x) = 2x sin x + x^2 cos x
Tip
Name u and v clearly before applying the rule.
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Derivatives