Circumcenter, Orthocenter, Incenter, and Centroid

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

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 – Examples and Practice Problems

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...
Power Rule – Examples and Practice Problems

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

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,...