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Rules of differentiation formulas
8 formulas for Rules of differentiation, from the Calculus section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Sum | (u ± v)′ = u′ ± v′ | |
| Product | (uv)′ = u′v + uv′ | |
| Quotient | (u/v)′ = (u′v − uv′) / v² | |
| Chain rule | dy/dx = dy/du · du/dx | |
| Parametric | dy/dx = (dy/dt) / (dx/dt) | |
| Logarithmic differentiation | y = u^v ⇒ y′/y = v′ ln u + v u′/u | |
| Second derivative (parametric) | d²y/dx² = d/dt(dy/dx) / (dx/dt) | |
| Leibniz (n-th derivative) | (uv)⁽ⁿ⁾ = Σ ⁿCᵣ u⁽ⁿ⁻ʳ⁾ v⁽ʳ⁾ |
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