Name: What Is the Derivative of a Power Function?
Uploaded: 2023-02-10T08:27:24.562Z
Channel: House of Math
Description: You can find the derivative of a power function by using a special rule that is faster than the definition of the derivative. This video has all the details.

You can find the derivative of a power function by using a special rule that is faster than the definition of the derivative. This video has all the details.

What Is the Derivative of a Power Function?

A function where the independent variable, usually named x, is in the base of the expression

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

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

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

Change in x coordinates, also referred to as the 

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

You can find the derivative of a power function by using a special rule that is faster than the definition of the derivative. This video has all the details. 