Maximum and Minimum Problems

I have some examples for differential applications of maximum and minimum in geometry. I hope they are useful for you to prepare your examination.

Tips for Quick Differentials

Suppose we have to find the first derivative of function

By the theorem of differentiation we will calculate

Performing this rule we proceed like this ...


The formula in red is the shorthand formula to find the first derivative of the linear fraction function above.

For a composite function, say

The first derivative is can be found by the shorthand formula

Notice that u here is a function of x.

Here is another function,
The first derivative is given by .....
Have a nice learning ....