3rd partial differential calculus

2nd derivative will help you knowing an optimal value

Finding the 1st derivative will help you knowing concavity

An example of optimization is

From the next question, what is the dependent variable? r=\frac{1}{^{3s^2}}-\frac{1}{2s}

A derivative helps you see the "change" in a process

Iff''\left(x\right)<0 is concave down

You can't use differential calculus in this area

We can know that we have a minimum or maximum value when f'=0

Critcal point of f\left(x\right)=x^2

A derivative comes from a limit.

If f''\left(x\right)>0 the graph will be concave down

2nd derivative will help you finding concavity

One of the main uses of derivatives is in medicine

Finding the 1st derivative will help you find a maximum or a minimum

It is called "nominal point" when f'\left(c\right)=0

This is an open interval [2, 9]

Optimization is one of the most common applications of derivatives

The maximum of cos(x)=-\frac{\pi}{2}