Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 PowerRule

Source Notebook

See how to apply the power rule for derivatives to an expression

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["PowerRule"][f,x]

applies the power rule for computing the derivative of f with respect to x, returned as an Inactive result.

Details

ResourceFunction["PowerRule"] accepts the following options:
"PrintRule"Falseprint a statement of the power rule
"PrintNapkin"Falseprint the side "napkin" word needed for computing components of the power rule

Examples

Basic Examples (1) 

Show the power rule for computing the derivative of 4x2 with respect to x:

In[1]:=
ResourceFunction["PowerRule"][4 x^2, x]
Out[1]=

Scope (1) 

The power rule can also be applied to expressions with negative exponents:

In[2]:=
ResourceFunction["PowerRule"][x^-2, x]
Out[2]=

Options (2) 

PrintNapkin (1) 

Setting "PrintNapkin" to True prints a grid with the side "napkin" work needed to apply the power rule:

In[3]:=
ResourceFunction["PowerRule"][3 x^8, x, "PrintNapkin" -> True]
Out[3]=

PrintRule (1) 

Setting "PrintRule" to True prints a general statement of the power rule for derivatives:

In[4]:=
ResourceFunction["PowerRule"][5 x^(-12), x, "PrintRule" -> True]
Out[4]=

Publisher

Wolfram|Alpha Math Team

Version History

  • 1.0.0 – 17 April 2023

Related Resources

Author Notes

To view the full source code for PowerRule, evaluate the following:

License Information