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Power rule

Index Power rule

In calculus, the power rule is used to differentiate functions of the form f(x). [1]

24 relations: Alphonse Antonio de Sarasa, Binomial theorem, Blaise Pascal, Bonaventura Cavalieri, Calculus, Chain rule, Derivative, E (mathematical constant), Evangelista Torricelli, Exponential function, Fundamental theorem of calculus, Gilles de Roberval, Gottfried Wilhelm Leibniz, Grégoire de Saint-Vincent, Isaac Newton, John Wallis, Linearity, Mathematical induction, Natural logarithm, Pierre de Fermat, Polynomial, Rational number, Reciprocal rule, Zero to the power of zero.

Alphonse Antonio de Sarasa

Alphonse Antonio de Sarasa was a Jesuit mathematician who contributed to the understanding of logarithms, particularly as areas under a hyperbola.

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Binomial theorem

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.

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Blaise Pascal

Blaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Catholic theologian.

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Bonaventura Cavalieri

Bonaventura Francesco Cavalieri (Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), 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.

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Chain rule

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.

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Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

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E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

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Evangelista Torricelli

Evangelista Torricelli; 15 October 1608 – 25 October 1647) was an Italian physicist and mathematician, best known for his invention of the barometer, but is also known for his advances in optics and work on the method of indivisibles.

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Exponential function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.

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Fundamental theorem of calculus

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function.

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Gilles de Roberval

Gilles Personne de Roberval (August 10, 1602 – October 27, 1675), French mathematician, was born at Roberval near Beauvais, France.

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Gottfried Wilhelm Leibniz

Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.

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Grégoire de Saint-Vincent

Grégoire de Saint-Vincent (22 March 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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John Wallis

John Wallis (3 December 1616 – 8 November 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus.

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Linearity

Linearity is the property of a mathematical relationship or function which means that it can be graphically represented as a straight line.

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Mathematical induction

Mathematical induction is a mathematical proof technique.

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Natural logarithm

The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.

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Pierre de Fermat

Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Reciprocal rule

In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f.

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Zero to the power of zero

Zero to the power of zero, denoted by 00, is a mathematical expression with no obvious value.

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Calculus with polynomials, Derivative of a constant, Differentiating Functions, Functional power rule, General Power Rule, General power rule, Generalized power rule, Power Rule, Power rules.

References

[1] https://en.wikipedia.org/wiki/Power_rule

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