Wolfram alpha brings expertlevel knowledge and capabilities to the broadest possible range of peoplespanning all professions and education levels. It uses wellknown rules such as the linearity of the derivative, product rule, power rule, chain rule and so on. Lnx, \alpha gives the natural logarithm, which for real x 0. The wolfram language attempts to convert derivative n f and so on to pure functions. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music wolframalpha brings expertlevel knowledge and capabilities to the broadest possible range of peoplespanning all professions and education levels. If the wolfram language finds an explicit value for this derivative, it returns this value. We have that the derivative of log a x is 1 x ln a. Wolframalpha is a great resource for determining the differentiability of a function, as well as calculating the derivatives of trigonometric, logarithmic, exponential. Pdf teaching calculus with wolframalpha researchgate. This derivative is fairly simple to find, because we have a formula for finding the derivative of log a x, in general. Wolfram alpha calls wolfram languagess d function, which uses a table of identities much larger than one would find in a standard calculus textbook. Log gives exact rational number results when possible. When optimizing the energy repartition in a statistical ensemble by maximizing the total number of states with respect to each state occupation number, it is. Integration is an important tool in calculus that can give an antiderivative or represent area under a curve.
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