John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Chain Rule Of Differentiation For Absolute Value: Derivatives Of U With Respect To X

d/dx[|u|] (u/|u|)u’,u≠0 The function |u| represents the absolute value of u, which is defined as: |u| = {u, if u >= 0 {-u, if u < 0...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Ln(U) With Respect To X: A Step-By-Step Guide

d/dx[lnu] u’/u The derivative of ln(u) with respect to x is given by: (d/dx)[ln(u)] = (1/u) * (du/dx) where u is the function with respect to which...

John Rhodes
June 21, 2023
Calculus

How To Differentiate Eᵘ With Respect To X Using Chain Rule? – A Complete Guide.

d/dx[eᵘ] eᵘu’ To differentiate eᵘ with respect to x, we need to use the chain rule of differentiation. Let y = eᵘ, where u is a function...

John Rhodes
June 21, 2023
Trigonometry

The Essential Guide To Trigonometry: The Unit Circle And Its Role In Defining Standard Trigonometric Functions.

Unit Circle The circle of radius one centered at the origin in the xy-plane. The unit circle is a circle with radius of 1 unit centered at...

John Rhodes
June 21, 2023
Trigonometry

From Polar To Rectangular Coordinates: How To Convert The Given Point In Math?

π/6 (√3/2, 1/2) x = r cos θ The given point (π/6, (√3/2, 1/2)) is in polar coordinates, which means that we need to convert it into...

John Rhodes
June 21, 2023
Trigonometry

Find The Location And Angle Of The Point (Sqrt(2)/2, Sqrt(2)/2) On The Unit Circle | Math Tutorial

π/4 (√2/2, √2/2) theta = pi/4 The point (sqrt(2)/2, sqrt(2)/2) lies on the unit circle since the radius of the unit circle is 1, and sqrt(2)/2 squared...

John Rhodes
June 21, 2023
Trigonometry

The Unit Circle: Exploring Trigonometric Functions And Angle Measures With The Example Of Π/3 (1/2, √3/2)

π/3 (1/2, √3/2) π/3 (1/2, √3/2) is located on the unit circle at an angle of π/3 radians (60 degrees) from the positive x-axis in the counterclockwise...

John Rhodes
June 21, 2023
Trigonometry

Calculating Polar Coordinates For A Point On The Y-Axis

2π/3 (-1/2, √3/2) 2π/3 (-1/2, √3/2) can be written in Cartesian form as (-1/2, √3/2). To describe the point in Cartesian form, we need to use the...