John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

The Cusp: Exploring The Point Of Abrupt Curvature Change In Math

What does a cusp look like? When a function becomes vertical and then virtually doubles back on itself. Such pattern signals the presence of what is known...

John Rhodes
June 21, 2023
Calculus

Vertical Tangents In Calculus: Rare Points Of Non-Differentiability

What does a Vertical Tangent look like? vertical tangent image A vertical tangent is a mathematical term used in calculus to describe a specific point on a...

John Rhodes
June 21, 2023
Calculus

Master The Difference Rule In Calculus For Finding Derivatives Of Functions | Explanation And Example

Difference Rule Function – f – gDerivative – f’ − g’ The difference rule is a formula used in calculus to find the derivative of the difference...

John Rhodes
June 21, 2023
Calculus

Mastering The Reciprocal Rule: Simplifying Fractions In Math Operations

Reciprocal Rule Function 1/fDerivative −f’/f2 The reciprocal rule is a mathematical rule that is applied when dealing with fractions. It states that when you have a fraction,...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule In Calculus: A Step-By-Step Guide With Examples

Chain Rule (Using ‘ ) Function f(g(x))Derivative f'(g(x))g'(x) The chain rule is a formula in calculus that allows us to compute the derivative of a composite function....

John Rhodes
June 21, 2023
Calculus

Mastering Limit Problems In Calculus: Using L’Hôpital’S Rule And The Squeeze Theorem For Quick Solutions

lim sinx / xx -> 0 1 To solve this limit, we can use L’Hôpital’s rule. Applying the rule, we take the derivative of both the numerator...

John Rhodes
June 21, 2023
Calculus

Effective Use Of L’Hopital’S Rule To Evaluate The Limit Of Trigonometric Function

lim cosx-1/xx ->0 0 We can apply L’Hopital’s rule to evaluate this limit as we have an indeterminate form of \(\frac{0}{0}\). Taking the derivative of the numerator...

John Rhodes
June 21, 2023
Calculus

Master The Chain Rule: Derivative Of Sin(X) Explained With Step-By-Step Process.

derivative of sinx cosx The derivative of sin(x) can be found by applying the chain rule and the derivative of the trigonometric function. Here is the step-by-step...