Work out quotient rule instantly with clear inputs, formula shown and shareable results.
The quotient rule gives (u/v)' = (u'v − uv')/v². The minus sign matters: increasing the denominator decreases the quotient, so its contribution is subtracted.
Quotient rule
(u/v)' = (u'v − uv') / v²
(3x²cos x + x³ sin x)/cos²x = (3 cos 1 + sin 1)/cos²1 ≈ 8.4652.
Yes. Write u/v as u·v⁻¹ and apply the product and chain rules; you get the same answer.