John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Master The Derivative Of Ln(U): A Comprehensive Guide For Differentiable Functions

What is the derivative of [ln u] u’/u The derivative of ln(u) is equal to 1/u times the derivative of u: $$\frac{d}{dx}(\ln u) = \frac{1}{u}\frac{du}{dx}$$ This can...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: The Exponential Chain Rule For Derivatives Of E^U

What is the derivative of [e^u] e^u•u’ The derivative of [e^u] with respect to u is simply [e^u]. This is due to the property of exponential functions...

John Rhodes
June 21, 2023
Calculus

Floor Function And Derivatives: The Case Of [Sin X]

What is the derivative [sin x] Cos x The derivative of [sin x], where [ ] represents the floor function or greatest integer function, is not defined...

John Rhodes
June 21, 2023
Calculus

The Non-Existence Of The Derivative Of [Tan X] For Specific Values Of X Using The Greatest Integer Function

What is the derivative of [tan x] Sec^2x The derivative of [tan x], where [ ] denotes the greatest integer function, does not exist for x =...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Cot X: Step-By-Step Guide With Quotient Rule

What is the derivative of [cot x] -csc^2 x To find the derivative of [cot x], we need to use the quotient rule. Recall that the cotangent...

John Rhodes
June 21, 2023
Geometry

Exploring Isosceles Triangles: Properties, Types, And Applications

isosceles Triangle A triangle that has 2 equal sides. An isosceles triangle is a triangle that has at least two sides of equal length. Therefore, an isosceles...

John Rhodes
June 21, 2023
Geometry

Exploring Scalene Triangles: The Properties, Permutations, And Differences From Isosceles And Equilateral Triangles.

scalene triangle a triangle with no congruent sides A scalene triangle is a type of triangle where none of the three sides have equal length. In other...

John Rhodes
June 21, 2023
Geometry

How Acute Triangles Are Unique: Properties And Examples

acute triangle a triangle where all three angles are < 90 degrees An acute triangle is a triangle where all three interior angles are acute angles, which...