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2. Differentiation rules - Wikipedia

   en.wikipedia.org/wiki/Differentiation_rules

   These rules are given in many books, both on elementary and advanced calculus, in pure and applied mathematics. Those in this article (in addition to the above references) can be found in: Mathematical Handbook of Formulas and Tables (3rd edition) , S. Lipschutz, M.R. Spiegel, J. Liu, Schaum's Outline Series, 2009, ISBN 978-0-07-154855-7 .

3. Quotient rule - Wikipedia

   en.wikipedia.org/wiki/Quotient_rule

   Chain rule – For derivatives of composed functions; Differentiation of integrals – Problem in mathematics; Differentiation rules – Rules for computing derivatives of functions; General Leibniz rule – Generalization of the product rule in calculus

4. Derivative - Wikipedia

   en.wikipedia.org/wiki/Derivative

   In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.

5. Leibniz integral rule - Wikipedia

   en.wikipedia.org/wiki/Leibniz_integral_rule

   In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of the form () (,), where < (), < and the integrands are functions dependent on , the derivative of this integral is expressible as (() (,)) = (, ()) (, ()) + () (,) where the partial derivative indicates that inside the integral, only the ...

6. Product rule - Wikipedia

   en.wikipedia.org/wiki/Product_rule

   In calculus, the product rule (or Leibniz rule [1] or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions.For two functions, it may be stated in Lagrange's notation as () ′ = ′ + ′ or in Leibniz's notation as () = +.

7. Differential calculus - Wikipedia

   en.wikipedia.org/wiki/Differential_calculus

   Equations involving derivatives are called differential equations and are fundamental in describing natural phenomena. Derivatives and their generalizations appear in many fields of mathematics, such as complex analysis, functional analysis, differential geometry, measure theory, and abstract algebra.