Review how we use differential calculus to find the intervals where a function increases or decreases.

Highlight intervals on the domain of a function where it's only increasing or only decreasing.

Function values can be positive or negative, and they can increase or decrease as the input increases. Here we introduce these basic properties of functions.

Find the intervals in which a function (given algebraically) is increasing or decreasing.

Sal is given that the derivative of function g, is g' (x)=x²/ (x-2)³. He uses that to find the intervals where g is increasing, by looking for the intervals where g' is positive.

Now that we know the intervals where f increases or decreases, we can find its extremum points. An extremum point would be a point where f is defined and f ′ changes signs.

So it might be tempting to say, all right, the intervals that matter are all the exes less than five halves, but X cannot be equal to zero. Now, is that the entire interval where our function is decreasing?

Finding the positive or negative intervals of a function from its graph. Created by Sal Khan.

Function values can be positive or negative, and they can increase or decrease as the input increases. Here we introduce these basic properties of functions.

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