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Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain
Weierstrass function
mathematics, the Weierstrass function is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is an example
Smoothness
complex function is differentiable just once on an open set, it is both infinitely differentiable and analytic on that set. Smooth functions with given
Inverse functions and differentiation
function y = f ( x ) {\displaystyle y=f(x)\!} is a function that, in some fashion, "undoes" the effect of f {\displaystyle f} (see inverse function for
Differentiable manifold
another is differentiable), then computations done in one chart are valid in any other differentiable chart. In formal terms, a differentiable manifold
Holomorphic function
just differentiable at z0, but differentiable everywhere within some neighbourhood of z0 in the complex plane. Given a complex-valued function f of a
Differentiation of trigonometric functions
The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change
Non-analytic smooth function
mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily
Implicit function theorem
Allendoerfer, Carl B. (1974). "Theorems about Differentiable Functions". Calculus of Several Variables and Differentiable Manifolds. New York: Macmillan. pp. 54–88
Derivative
infinitely differentiable. By standard differentiation rules, if a polynomial of degree n is differentiated n times, then it becomes a constant function. All