Differentiation and Integration in Mathcad

Differentiation in Mathcad is performed either by means of performing the actual operation with the given expression or by means of using and imaging the operator of the derivative. In the first case it is reasonable to enter the expression, extract the differentiation variable, enter the menu Symbols, Variable, Differentiate. Despite the immediacy of performing the operation in Mathcad, while computing data report generation some inconveniences closely connected with the absence of the symbol (operator) of the derivative itself might occur. For example:

sin(x)2 – 2. ln(x)

The result of differentiation by means of menu "Symbols"

Differentiation and Integration in Mathcad

The same result can be obtained by means of applying differentiation symbols in tool bar “Calculus.” This variant is regarded as the preferable one in Mathcad while generating the computing data report:

Differentiation and Integration in Mathcad

Mathсad makes it possible to calculate the n-th derivative, this can also be done by means of tool bar “Calculus.”:

Differentiation and Integration in Mathcad

Integration in Mathcad is performed analogous to symbolic differentiation. It is possible to calculate both the definite and the indefinite integral by means of applying commands of menu “Symbols” (Symbols, Variable, Integrate) or elements of the toolbar “Symbols”.But it is important to take into account the fact that as a result of the indefinite integral computing the constant of integration is not shown automatically, but should be forced written by the user himself. The listing shows the example of symbolic integration.

Differentiation and Integration in Mathcad

It should be mentioned that while computing by means of operators of tool bar “Symbols” and the commands of the menu “Symbols” мdifferent results can come out. It is connected with the fact that the menu commands are applied only to the highlighted expression, while operators of the tool bar “Symbols” take into consideration all the previous calculations.