30 дек. 2021 г. · The generalized power rule is one of a collection of rules called chain rules and henceforth we will refer to it as the Power Chain Rule.

Продолжительность: 2:42
Опубликовано: 23 сент. 2016 г.

We can write the general power rule formula as the derivative of x to the power n is given by n multiplied by x to the power n minus 1. Mathematically, the ...

Generalization to rational exponents Upon proving that the power rule holds for integer exponents, the rule can be extended to rational exponents.

f(x) = (3x -2x2)3 . SOLUTION If we let u = (3x - 2x2) then f(x) = u3 and by the General Power rule, the derivative is f ' (x) = 3(3x - 2x2)2(3 - 4x) = = (9 ...

The General Power Rule, also known as the chain rule, is a theorem in calculus for differentiating composite functions. It is applied when differentiating an ...

In this theory page, we look at a techniques for finding antideriva-tives for more general functions.

Продолжительность: 13:42
Опубликовано: 18 февр. 2023 г.

We start with the derivative of a power function, f(x)=xn. Here n is a number of any kind: integer, rational, positive, negative, even irrational, as in xπ.

Продолжительность: 20:24
Опубликовано: 27 мар. 2019 г.