John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Understanding the Limit Definition of Derivatives: A Fundamental Concept in Calculus

Limit Definition of a Derivative at a Point f'(a) = lim x→a ([f(x)-f(a)]/[x-a]) The limit definition of a derivative at a point is a mathematical concept used...

John Rhodes
June 21, 2023
Calculus

The Power Rule in Calculus: Deriving Functions Raised to Any Power

Power Rule for Derivatives If f(x) = x^n, then f'(x) = n*x^(n-1) The power rule is a fundamental rule in calculus that allows us to take the...

John Rhodes
June 21, 2023
Calculus

Master the Product Rule for Differentiation: A Fundamental Tool for Optimization, Physics, and Engineering

Product Rule If h(x) = f(x)g(x), then h'(x) = f'(x)g(x)+g'(x)f(x) The product rule is a differentiation formula used to find the derivative of two or more functions...

John Rhodes
June 21, 2023
Calculus

Master the Quotient Rule in Calculus: Simplify Derivative Calculations of Quotient of Functions.

Quotient Rule If h(x) = f(x)/g(x), then h'(x) = [g(x)f'(x)-f(x)g'(x)]/([g(x)]^2) The quotient rule is a formula used in calculus to find the derivative of a quotient of...

John Rhodes
June 21, 2023
Calculus

Understanding Sine(x): Definition, Calculation, and Applications in Trigonometry

sinx : cosx Sine(x) is a mathematical function that represents the ratio of the side opposite to an angle x in a right-angled triangle to the hypotenuse...

John Rhodes
June 21, 2023
Calculus

Understanding the Cosine Function: Definition, Properties, and Applications

cosx : -sinx The function cos(x) is a trigonometric function that describes the ratio of the adjacent side of a right triangle to the hypotenuse. In other...

John Rhodes
June 21, 2023
Calculus

How to Use Trigonometric Function Tanx in Mathematics for Accurate Calculations – Properties and Limitations Explained

tanx : sec^2x tanx is the trigonometric function tangent of angle x, where x is measured in radians. It’s defined as the ratio of the length of...

John Rhodes
June 21, 2023
Trigonometry

Understanding the Cotangent Function: Definition, Formula, and Graph

cot(x) -csc^2(x) The cotangent function (cot(x)) is a trigonometric function defined as the ratio of the adjacent side and opposite side of a right-angled triangle. It is...