Derivative

Differentiation

Derivatives can be calculated symbolically. Use the | operator to evaluate at a specific point. A guided option is available if needed.

Finding the location of a function’s minimum and maximum

With the commands fMin and fMax, you can determine the location of a function’s minimum and maximum values. Extrema can be studied more comprehensively using the derivative. With the solve command, the zeros of the derivative function can be determined easily.

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Derivative using the limit definition

The derivative can be defined as the limit of the difference quotient. First the difference quotient is formed, and then its limit is evaluated.

Using CAS, the difference quotient can be calculated symbolically and the limit taken with . The result equals the derivative, which can also be verified directly using .

Derivatives in Lists & Spreadsheet

In the Lists & Spreadsheet application, derivatives can be computed directly in table cells. A common use case is to define expressions in one column and compute their derivatives in another. Derivatives can also be entered directly using the math template. Higher-order derivatives can be computed directly using the math template.