A table of derivatives is like a cookbook for doing math with numbers. Just like how a cookbook gives you the instructions on how to make delicious food, a table of derivatives gives you the instructions on how to solve math problems.
Now, let's say you have a math problem where you need to find the slope or rate of change of a line, or quickly find the derivative of different functions (which is like finding the recipe for different dishes in a cookbook), you can go to the table of derivatives and look up the answer.
Think of it like having a cheat sheet to help you solve math problems faster and easier. All you have to do is look up the formula for the specific function you are working with, and then use that formula to solve the problem.
For example, let's say you need to find the derivative of the function y = x². You can look at the table of derivatives and find the formula for that function, which is y' = 2x. This means the derivative (or slope) of the function y = x² at any point is equal to 2 times the value of x.
So, using the table of derivatives can help you find the solutions to math problems more quickly and easily, just like how a cookbook can help you make yummy foods faster and easier.