Name: What Is the Derivative of a Root Function?
Uploaded: 2023-02-10T08:27:24.562Z
Channel: House of Math
Description: Root functions can be differentiated by converting them to power functions, then utilizing a special rule that is explained in this video using examples.

Root functions can be differentiated by converting them to power functions, then utilizing a special rule that is explained in this video using examples.

What Is the Derivative of a Root Function?

The operation of finding the derivative f’ of the function f

A function that gives you the rate of change of the function f

A function where the independent variable, usually named x, is part of the radicand

The number in front of a variable or product of variables, showing how many you have of that variable or product of variables

The part of a power showing the factor that is multiplied by itself.

The part of a power showing how many times the base is multiplied by itself

The number at the top of a fraction. It tells you the number of equal parts taken.

The number at the bottom of a fraction. It tells you the total number of equal parts in a whole.

Mathagon

Average Rate of Change

Instantaneous Rate of Change

Definition of the Derivative

Using the Definition of the Derivative

Power Functions

Root Functions

What Is Differentiation?

Introduction

Root functions can be differentiated by converting them to power functions, then utilizing a special rule that is explained in this video using examples. 