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Regla de l'Hôpital, demostración e historia

Sabías que al parecer dos grandes Matemáticos Guillaume de l'Hôpital y Johann Bernoulli se disputaron la autoría de la "Regla de l'Hôpital" (tambi& ...

Demostración visual del cuadrado de la diferencia

El cuadrado de la diferencia de dos términos es igual al cuadrado del primer término menos el doble producto de ambos términos más el cuadrado del segundo término:

( ...

Using the First Derivative Test

"Some optimization problems use the first derivative test to find an absolute minimum or maximum. Using the first derivative test requires the derivative of the function to be always negative on one s ...

Two Column Proofs

"Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. Before beginning a two column proof, start by working backwards from the "pro ...

Square Root Operations

"Since Pythagorean theorem proofs requires us to square numbers and find square roots, reviewing square root operations from Algebra is really important. When working with the Pythagorean theorem, it ...

Second Derivative Test

"The second derivative test is useful when trying to find a relative maximum or minimum if a function has a first derivative that is zero at a certain point. Since the first derivative test fails at t ...

Deductive Reasoning

"Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys ...

Pythagorean Theorem Proofs

"The Pythagorean theorem states that in a right triangle the sum of its squared legs equals the square of its hypotenuse. The Pythagorean theorem is one of the most well-known theorems in mathematics ...

CPCTC

"CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are ...

Proving Inverse Functions

"The definition of a function can be extended to define the definition of an inverse, or an invertible function. It's important to understand proving inverse functions, and the method of proving inver ...

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