Home >> PURE MATHS, Differential Calculus, the product rule

The Product Rule Equation

Gottfried Leibniz is credited with the discovery of this rule which he called Leibniz's Law.

Simply, if u and v are two differentiable functions of x, then the differential of uv is given by:

This can also be written, using 'prime notation' as :

back to top

Example #1 Differentiate (x²+1)³(x³+1)²

back to top

Example #2 Differentiate y = (x² - 4)(x + 3)²

back to top

Example #3 Differentiate

back to top

[ About ] [ FAQ ] [ Links ] [ Terms & Conditions ] [ Privacy ] [ Site Map ] [ Contact ]