Calculus | Senioritis

John Rhodes
July 6, 2023
Calculus

Understanding the Derivative of cos(x) and its Calculation Method through the Chain Rule.

(d/dx) cos(x) To find the derivative of cos(x) with respect to x, we can use the chain rule To find the derivative of cos(x) with respect to...

John Rhodes
July 6, 2023
Calculus

Simplifying the Chain Rule: Finding the Derivative of sin(x) with Respect to x

(d/dx) sin(x) To find the derivative of sin(x) with respect to x, we can use the chain rule To find the derivative of sin(x) with respect to...

John Rhodes
July 6, 2023
Calculus

Analyzing Critical Points, Endpoints, and Function Behavior: Finding Maximum and Minimum Values of a Function

Find max/min value To find the maximum and minimum values of a function, we need to analyze its critical points, endpoints, and the behavior of the function...

John Rhodes
July 6, 2023
Calculus

Finding Extrema: Discovering Maximum and Minimum Values in Functions

Find extrema To find extrema, we need to find the maximum and minimum values of a function To find extrema, we need to find the maximum and...

John Rhodes
July 6, 2023
Calculus

Understanding the Extreme Value Theorem: Guaranteed Maximum and Minimum Values for Continuous Functions on Closed Intervals

Extreme Value Theorem The Extreme Value Theorem is a fundamental principle in mathematics that guarantees the existence of maximum and minimum values for a continuous function defined...

John Rhodes
July 6, 2023
Calculus

Determining Local Maxima and Minima: The Second Derivative Test in Calculus

Second Derivative Test The second derivative test is a method used in calculus to determine whether a critical point, which is a point where the derivative is...

John Rhodes
July 6, 2023
Calculus

Maximizing the Rate of Change: A Step-by-Step Guide for Finding the Maximum Rate of Change of a Function

Find max rate of change To find the maximum rate of change, we need to differentiate the given function and find the critical points To find the...

John Rhodes
July 6, 2023
Calculus

Maximizing Steepness: Finding the Vector with the Highest Rate of Increase in a Math Function

Find vector with maximum “steepness” To find the vector with the maximum “steepness,” we need to determine the direction in which the function increases most rapidly To...