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  2. Category:Theorems in calculus - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_calculus

    Implicit function theorem. Increment theorem. Integral of inverse functions. Integration by parts. Integration using Euler's formula. Intermediate value theorem. Inverse function rule. Inverse function theorem.

  3. Fundamental theorem of calculus - Wikipedia

    en.wikipedia.org/.../Fundamental_theorem_of_calculus

    v. t. e. The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras. List of algorithms. List of axioms. List of conjectures. List of data structures. List of derivatives and integrals in alternative calculi. List of equations.

  5. List of theorems called fundamental - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems_called...

    In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]

  6. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Differential calculus. Derivative. Notation. Newton's notation for differentiation. Leibniz's notation for differentiation. Simplest rules. Derivative of a constant. Sum rule in differentiation. Constant factor rule in differentiation.

  7. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    e. In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which may or may not be in the domain of the function. Formal definitions, first devised in the early 19th century, are given below.

  8. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals ", it has two major branches, differential calculus and integral calculus.

  9. Rolle's theorem - Wikipedia

    en.wikipedia.org/wiki/Rolle's_theorem

    In calculus, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct points must have at least one point, somewhere between them, at which the slope of the tangent line is zero. Such a point is known as a stationary point.

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