Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

How to Find Critical Numbers in Calculus and Determine Maximum or Minimum Points of a Function

Critical numbers First derivative equals zero or does not exist Critical numbers are an important concept in calculus that is used to find the maximum or minimum...

John Rhodes
June 21, 2023
Calculus

Increasing Functions in Calculus: Definition, Examples and Derivative Techniques

Function is increasing First derivative greater than zero A function is said to be increasing if its output values increase as the input values increase. More formally,...

John Rhodes
June 21, 2023
Calculus

Decreasing Functions: Definition, Graph, and Applications

Function is decreasing First derivative less than zero When we say a function is decreasing, we mean that the output values of the function decrease as the...

John Rhodes
June 21, 2023
Calculus

Horizontal Tangent Lines: Their Role in Calculus and Maximizing/Minimizing Functions.

Horizontal tangent line First derivative equals zero A horizontal tangent line is a straight line that is tangent to a curve at a single point and is...

John Rhodes
June 21, 2023
Calculus

Discovering Relative Maximums in a Function using the First and Second Derivative Tests

Relative Maximum f'(c)=0 function increasing left of c and decreasing right of c A relative maximum is a point on a function where the value of the...

John Rhodes
June 21, 2023
Calculus

Mastering Parabolas: the Components, Equations, and Real-World Applications

parabola the graph of a quadratic function A parabola is a U-shaped curve formed by the intersection of a plane parallel to a fixed line and a...

John Rhodes
June 21, 2023
Calculus

the Importance of Vertices in Mathematics: A Comprehensive Overview for Beginners.

vertex The maximum or minimum value of a parabola. In mathematics, a vertex is a point where two or more lines, curves, or edges meet. The term...

John Rhodes
June 21, 2023
Calculus

Mastering Quadratic Functions: How to Convert Standard Form to Vertex Form

Vertex form of a quadratic function y=a(x-h)^2+k The vertex form of a quadratic function is given by: f(x) = a(x – h)^2 + k where a, h,...