Page 96 - Calculus Workbook For Dummies

80 Part III: Differentiation

Getting High on Calculus:

Higher Order Derivatives

You often need to take the derivative of a derivative, or the derivative of a derivative
of a derivative, and so on. In the next two chapters, you see a few applications. For
example, a second derivative will tell you the acceleration of a moving body. To find a
higher order derivative, you just treat the first derivative as a new function and take its
derivative in the ordinary way. You can keep doing this indefinitely.

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29. For y = x , find the 1st through 6th 30. For y = x + 10x , find the 1st, 2nd, 3rd, and
derivatives. 4th derivatives.
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