Learning Objective 2.1D

Learning Objective 2.1D Students will be able to determine higher order derivatives.

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Higher order derivatives may sound intimidating, but they're not. It just means taking a derivative more than once. In other words, you might find the derivative of a derivative. That's really all there is to it.

Essential Knowledge 2.1D1 Shows you how to do this (although just from my description you've probably figured it out)

Essential Knowledge 2.1D2 Shows you the correct notation for higher order derivatives.

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Essential Knowledge 2.1D1 Students will know that differentiating f 'produces the second derivative f '', provided the derivative of f ' exists; repeating this process produces higher order derivatives of f.

Essential Knowledge 2.1D2 Students will know that higher order derivatives are represented with a variety of notations. For y = f(x), notations for the second derivative include

, f ''(x), and y''. Higher order derivatives can be denoted or f ⁽ⁿ⁾(x)