Taking the derivative of a function is called differentiating. Although it is very helpful to find a derivative using limits, it can also become very time-consuming. Thankfully, there are some rules that have been created to make our lives less complicated. These rules especially come to use when you are asked to differentiate longer and more complicated equations.
( d/dx is another way of saying “the derivative of”. When you see d/dx it means you are taking the derivative of said equation in respect to x.)
1. The power Rule
The power rule is the most basic ‘shortcut’ for finding derivatives. It’s also the most common. It goes as follows
( d/dx is another way of saying “the derivative of”. When you see d/dx it means you are taking the derivative of said equation in respect to x.)
1. The power Rule
The power rule is the most basic ‘shortcut’ for finding derivatives. It’s also the most common. It goes as follows
Example: