John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Statistics

Hypothesis Testing: Why We Fail To Reject The Null Hypothesis

Because our p-value is GREATER than alpha… … we fail to reject the null. There is NOT sufficient evidence to conclude that (state null hypothesis in context/answer...

John Rhodes
June 21, 2023
Calculus

Master The Derivative Of Cf(X): An Easy Guide To Calculating Derivatives Of Constant Multiplied Functions

d/dx [cf(x)] cf'(x) The derivative of the function cf(x) with respect to x is given by: d/dx [cf(x)] = c * d/dx [f(x)] where c is a...

John Rhodes
June 21, 2023
Calculus

Learn How To Find Derivative Of Sum Or Difference Of Two Functions – Formula And Examples

d/dx [f(x) ± g(x)] f'(x) ± g'(x) The derivative of the sum or difference of two functions f(x) and g(x) is equal to the sum or difference...

John Rhodes
June 21, 2023
Calculus

Master The Product Rule Of Differentiation: Learn How To Find Derivatives Of Functions

d/dx [f(x)g(x)] f'(x)g(x)+f(x)g'(x) The product rule of differentiation states that the derivative of the product of 2 functions (f and g) is equal to the first function...

John Rhodes
June 21, 2023
Calculus

How To Use The Quotient Rule Of Differentiation For Finding Derivatives Of F(X) / G(X)

d/dx [f(x)/g(x)] (f'(x)g(x)-f(x)g'(x)) / (g(x))^2 To differentiate [f(x) / g(x)], we’ll need to use the quotient rule of differentiation. According to the quotient rule, the derivative of...

John Rhodes
June 21, 2023
Calculus

Math Basics: Why The Derivative Of A Constant ‘C’ With Respect To ‘X’ Is Always Zero

d/dx [c] 0 The derivative of a constant ‘c’ with respect to ‘x’ is zero. This is because a constant term does not contain any variable ‘x’...

John Rhodes
June 21, 2023
Calculus

Mastering The Power Rule: How To Differentiate Functions Of X^N Like A Pro

d/dx [x^n] nx^n-1 To differentiate the function x^n with respect to x, we use the power rule of differentiation, which states that the derivative of x^n is...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule: How To Find Derivatives Of Composite Functions In Calculus

d/dx[f(g(x))] f'(g(x)) g'(x) The chain rule states that if we have a composite function f(g(x)), then the derivative with respect to x is given by: d/dx[f(g(x))] =...