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## Circumcenter, Orthocenter, Incenter, and Centroid

The circumcenter, the orthocenter, the incenter, and the centroid are points that represent the intersections of different internal segments of a triangle. For example, we can obtain intersection points of perpendicular bisectors, bisectors, heights and medians. In...

## Power Rule – Examples and Practice Problems

Derivation exercises that involve the variables or functions raised to a numerical exponent can be solved using the power rule formula. This formula allows us to derive variables such as but not limited to , where is either a positive, negative or rational real...

## Power Rule of Derivatives – Formula, Proof and Examples

The Power Rule is one of the major and most commonly used formulas in Differential Calculus (or Calculus I). It is commonly applied in deriving a single variable, a set of polynomials, or a function with a numerical exponent. The power rule can be proven and...

## Proofs of the Power Rule of Derivatives

The Power Rule is one of the most commonly used derivative rules in Differential Calculus (or Calculus I) to derive a variable raised a numerical exponent. In special cases, if supported by another derivative rule, it is also used to derive a  transcendental...

## Chain Rule – Formula, Proof and Examples

The Chain Rule is one of the most common derivatives applied in Differential Calculus (or Calculus I). It is used in deriving a composition of functions. The chain rule can be proven using the backbone of Calculus, which is the limits.  In this article,...