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Jefferson Huera Guzman

formula for the product rule of derivatives

Product Rule – Formula, Proof and Examples

The Product Rule is one of the main principles applied in Differential Calculus (or Calculus I). It is commonly used in deriving … Read more

Categories Calculus
formula for the product rule of derivatives 2

Product Rule – Challenging Examples and Practice Problems

Derivation exercises that involve the product of functions can be solved using the product rule formula. This formula allows us … Read more

Categories Calculus
circular cross sections of a sphere

Cross-Sections of a Sphere

The cross-sections of a sphere are two-dimensional figures formed by the intersection of a plane with a sphere. Since the … Read more

Categories Geometry
cross section of a rectangular prism

All the Cross-Sections of a Rectangular Prism

The cross-sections of a rectangular prism are the two-dimensional figures that are obtained when we cut a prism with a … Read more

Categories Geometry
cross section of a cone

All the Cross-Sections of a Cone

Cone cross-sections are obtained when we cut a cone with a plane. We can obtain different cross-sections depending on the … Read more

Categories Geometry
square cross section of a cube

All the Cross-Sections of a Cube

The cross-sections of a cube are two-dimensional figures obtained by the intersection of a plane with a cube. Depending on … Read more

Categories Geometry
circular cross section of a cylinder

All the Cross-Sections of a Cylinder

Cylinder cross-sections are obtained when we cut a cylinder with a plane. Depending on the orientation of the plane, a … Read more

Categories Geometry
right triangle - converse of Pythagorean theorem

Converse of the Pythagorean Theorem – Formulas and Examples

The Pythagorean theorem is the most used in trigonometry and allows us to calculate the length of one of the … Read more

Categories Geometry
formula for the product rule of derivatives 2

Proofs of the Product Rule

The Product Rule is one of the most helpful tools in Differential Calculus (or Calculus I) to derive two functions … Read more

Categories Calculus
the factor theorem

Factor Theorem – Examples and Practice Problems

The Factor Theorem is frequently used to factor a polynomial and to find its roots. The polynomial remainder theorem is … Read more

Categories Algebra
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