John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Master the Power Rule: How to easily calculate derivatives of x^n with examples

Power Rule:d/dx [x^n] = ___________________ nx^n-1 The power rule states that the derivative of x raised to the power of n, denoted as x^n, is equal to...

John Rhodes
June 21, 2023
Calculus

Calculus: Why the Derivative of a Constant is Always 0

derivative of a constant:d/dx [c] = ___________________ 0 The derivative of a constant is always 0. This is because the derivative measures the rate of change of...

John Rhodes
June 21, 2023
Calculus

Sum and Difference Rules of Differentiation in Mathematics

Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________ 1) f'(x) + g'(x)2) f'(x) – g'(x) 1) According to the sum...

John Rhodes
June 21, 2023
Calculus

Differentiability in Mathematics: The Definition, Implications, and Key Concepts

Differentiability implies ___________________ continuity Differentiability implies the existence of a derivative of a function at a particular point. It means that the function has a well-defined tangent...

John Rhodes
June 21, 2023
Trigonometry

Learn how to calculate the sine of 45° using right-angled triangle – Step by step guide

sin 45° √2/ 2 The value of sine 45° is 0.70710678118. To understand how to calculate the sine of an angle, we need to consider the right-angled...

John Rhodes
June 21, 2023
Trigonometry

How to Find the Exact Value of sin 60°: Trigonometry with Equilateral Triangles

sin 60° √3/ 2 The exact value of sin 60° is (√3) / 2. To understand how to find this value, consider an equilateral triangle where all...

John Rhodes
June 21, 2023
Trigonometry

How to Find the Value of cos 30° Using the Unit Circle in Trigonometry

cos 30° √3/ 2 cos 30° is equal to √3/2, which is approximately 0.866. To understand how to find the value of cos 30°, we need to...

John Rhodes
June 21, 2023
Trigonometry

Cosine: How cos 45° is equal to √2 / 2 in a right-angled triangle?

cos 45° √2/ 2 cos 45° is equal to √2 / 2. To explain this further, we first need to understand what cosine means. In a right-angled...