General form |
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$\dfrac{d}{dx}{\Big({f(x)}.{g(x)}\Big)}$ $\,=\,$ ${g(x)}\dfrac{d{f(x)}}{dx}$ $+$ ${f(x)}\dfrac{d{g(x)}}{dx}$ |

Leibniz’s notation |

$\dfrac{d}{dx}{(u.v)}$ $\,=\,$ $v.\dfrac{du}{dx}$ $+$ $u.\dfrac{dv}{dx}$ |

Differentials Notation |

$d{(u.v)}$ $\,=\,$ $v.du$ $+$ $u.dv$ |

Learn how to derive the property of product rule of differentiation in differential calculus.

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