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derivative. Have a question about using Wolfram|Alpha? Contact Pro Premium Expert Support ». Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….The Lambert W-function, also called the omega function, is the inverse function of f(W)=We^W. (1) The plot above shows the function along the real axis. The principal value of the Lambert W-function is implemented in the Wolfram Language as ProductLog[z]. Different branches of the function are available in the Wolfram Language as ProductLog[k, z], where k is any integer and k=0 corresponds to ...Get the free "Derivative and Integral Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.The operator representing the computation of a derivative, D^~=d/(dx), (1) sometimes also called the Newton-Leibniz operator. The second derivative is then denoted D^~^2, the third D^~^3, etc. The integral is denoted D^~^(-1). The differential operator satisfies the identity (2x-d/(dx))^n1=H_n(x), (2) where H_n(x) is a Hermite polynomial (Arfken 1985, p. 718), where the first few cases are ...Wolfram|Alpha is a great resource for determining the differentiability of a function, as well as calculating the derivatives of trigonometric, logarithmic, exponential, polynomial and many other types of mathematical expressions. Differentiation has many applications within physics, trigonometry, analysis, optimization and other fields.Get the free "Derivative Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Ordinary Differential Equation. An ordinary differential equation (frequently called an "ODE," "diff eq," or "diffy Q") is an equality involving a function and its derivatives. An ODE of order is an equation of the form. where is a function of , is the first derivative with respect to , and is the th derivative with respect to .

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