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Circumcenter of a Triangle – Definition, Formula and Examples

The circumcenter of a triangle is the point where the three perpendicular bisectors of the triangle intersect. The circumcenter can also be defined as the center of the circumscribed circle that passes through the three vertices of the triangle. The location of the...

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 a function that involves the multiplication operation. The product rule was proven and developed using the backbone of Calculus,...

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 to derive a product of function such as but not limited to fg(x) = f(x)g(x). Here, we will look at a summary of the product rule....

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 sphere has a completely round shape with a constant radius, any plane that intersects a sphere will form a circular cross-section no matter the...

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 plane. The figure formed depends on the orientation of the plane. We can obtain rectangular, triangular, pentagonal, and hexagonal cross-sections....