Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...

Which inverse function calculator is best? If you’re taking a math course in which you’re studying inverse functions, you’ll likely be required to graph functions and their inverses in many ways. An ...

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

Support your confidence in this topic by refreshing your knowledge of substitution and changing the subject of formulae. A function takes an input value, applies a rule to it, and produces an output ...