3rd partial differential calculus

Finding the 1st derivative will help you knowing concavity

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

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

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

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

A derivative comes from a limit.

2nd derivative will help you finding concavity

Optimization is one of the most common applications of derivatives

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

An example of optimization is

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

You can't use differential calculus in this area

This is an open interval [2, 9]

One of the main uses of derivatives is in medicine

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

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

2nd derivative will help you knowing an optimal value

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