Shortcuts to Derivatives
Finding the derivative of a function directly from its limit definition is a fundamental method, but it can be very long and tedious, especially for complex functions. The good news is, there are many shortcuts! Mathematicians have developed a set of practical rules known as the properties of derivatives.
These properties act like special tools that make the process of differentiating functions much faster and more efficient, allowing us to focus on the core of the problem.
The Most Basic Rules
Let's start with a few fundamental rules that we will use frequently.