John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Kinematics: Solving For Final Velocity Using The Vxf² = Vxi² + 2Ax(∆X) Equation

vxf² = vxi² + 2ax(∆x) velocity as a function of position The equation vxf² = vxi² + 2ax(∆x) represents the relationship between the final velocity (vxf), initial...

John Rhodes
June 21, 2023
Calculus

The Relationship Between Velocity And Acceleration: Derivative Calculation Explained.

derivative of velocity with respect to time instantaneous acceleration The derivative of velocity with respect to time is acceleration. Mathematically, if v(t) represents the velocity of an...

John Rhodes
June 21, 2023
Calculus

The Derivative: Calculating Instantaneous Rates Of Change In Math

derivative of x with respect to time instantaneous velocity (can be positive, negative, or 0) The derivative of x with respect to time is commonly denoted by...

John Rhodes
June 21, 2023
Calculus

Mastering The Product Rule For Calculus Differentiation With Examples

Product Rule: d/dx [ f(x) * g(x) ] f'(x)g(x) + f(x)g'(x) The product rule is a differentiation rule that tells us how to take the derivative of...

John Rhodes
June 21, 2023
Calculus

Master The Quotient Rule For Derivatives: A Comprehensive Guide

Quotient Rule: d/dx [ f(x) / g(x) ] [ f'(x)g(x) – f(x)g'(x) ] / (g(x))² The quotient rule is a differentiation rule used to find the derivative...

John Rhodes
June 21, 2023
Calculus

Mastering The Art Of Derivatives: A Comprehensive Guide For Calculus Students

When taking derivatives you should always… – Factor and simplify (if possible)- Move anything in the denominator with an exponent to the numerator (don’t forget to make...

John Rhodes
June 21, 2023
Calculus

How To Use The Chain Rule To Find The Derivative Of Cos(F(X)) In Math

d/dx [ cos(f(x)) ] -sin(f(x))*f'(x) To find the derivative of cos(f(x)), we can use the chain rule. Recall that the chain rule states that if y =...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Sin(X) Using The Chain Rule: A Step-By-Step Guide

d/dx [ sin(x) ] cos(x) We can find the derivative of sin(x) with respect to x using the chain rule of differentiation. The chain rule states that...