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Example Problems for How to Find Higher-Order Derivatives (Calculus)

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In this video we look at examples of finding higher-order derivatives. If you take the derivative of a derivative, you end up with the second derivative, which is a higher-order derivative. The derivative of the second derivative would be the third derivative, and so on. We find these higher-order derivatives and make sure to use each of their appropriate notations. We also revisit our rates of change from lesson 11 and look at an example of finding the second derivative of the position function, which is the acceleration function.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Example 1 - Fifth Derivative of x^10+3x^5-2x^3+x^2-2
3:37 Example 2 - Second Derivative of (3x+1)*(x^2+3)
5:27 Example 3 - Second Derivative of x/(x+1)
9:28 Example 4 - Second Derivative of sin(x)*cos(x)
13:12 Example 5 - Finding an Acceleration Function from a Position Function


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