How To Differentiate Using The Power Rule

How To Differentiate Using The Power Rule. This video takes you through all the steps is using differentiation with the power rule. We quickly recap the meaning of derivative and go through the various notations. We then use the power rule in various examples to find the first derivative of a function. To see where the power rule comes from, see my previous video on differentiation from first principles.

The power rule is a key concept in understanding calculus and being able to differentiate with respect to x is a key topic at Higher Maths.

My further videos will go through applications of differentiation. But this first video works on getting a function ready to differentiate.

0:00 - What is the power rule for differentiation
1:07 - Differentiation Notation
2:29 - Example 1 Differentiation Power Rule
2:52 - Example 2 Differentiation Power Rule
3:25 - Example 3 Differentiate With Negative Indices
4:16 - Example 4 Differentiate With Negative Indices
4:49 - Example 5 Find The Derivate With Fractional Indices
6:38 - Example 6 Differentiating More Than 1 Term
8:00 - Example 7 Find The Derivative With Expanding Brackets
9:23 - Example 8 Differentiate With Surds
10:23 - Example 9 Find The Derivative With X In The Denominator
11:05 - Example 10 Differentiate With X In The Denominator
11:38 - Example 11 Differentiate Fractions X In The Denominator
12:48 - Example 12 Differentiate With Surd In Denominator
14:41 - Example 13 Differentiate With Separate Fractions
16:10 - Example 14 Differentiate With Separate Fractions
17:58 - Example 15 Differentiate With Surds And Expanding Brackets
20:46 - Higher Maths 2016 P1 Qu2