John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Mastering The First Derivative Test: Analyzing Critical Points Of Functions

First Derivative Test For a continuous function f.(1)if f’ changes sign from positive to negative at a critical point c, then f has a local maximum value...

John Rhodes
June 21, 2023
Calculus

Mastering Linearization: Techniques For Simplifying Complex Nonlinear Systems

Linearization The approximating function L(x) = f(a) + f'(a)(x – a) when f is differentiable at x = a. Linearization is a mathematical technique used to approximate...

John Rhodes
June 21, 2023
Calculus

Learn How To Find The Derivative Of Ln(U) Using The Chain Rule Of Differentiation

derv (ln u) (u’)/u To find the derivative of ln(u), where u is a function of some variable x. Using the chain rule of differentiation, we have:...

John Rhodes
June 21, 2023
Calculus

Calculus: The Derivative Of Sin(X) Explained With Trigonometry

derv sin(x) cos(x) The question appears to be incomplete since derv sin(x) is not a complete statement or question. It is possible that the intended question is...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Tan(X) Using The Quotient Rule And Chain Rule.

derv tan(x) sec^2(x) I believe you meant to ask for the derivative of tan(x). The derivative of tan(x) can be found using the quotient rule. Recall that...

John Rhodes
June 21, 2023
Calculus

The Derivative Of The Reciprocal Trigonometric Function Csc(X) For Better Calculus Performance

derv csc (x) -(csc(x)cot(x)) The expression derv csc(x) is not clear, as derv is not a standard mathematical notation. However, assuming that you meant to write derivative...

John Rhodes
June 21, 2023
Calculus

How To Compute The Derivative Of Sec(X) Using Quotient Rule And Reciprocal Of Cos(X)

derv sec(x) (sec(x)tan(x)) The derivative of sec(x) can be found using the quotient rule and the fact that sec(x) is the reciprocal of cos(x). Let’s start by...

John Rhodes
June 21, 2023
Calculus

The Quotient Rule: Derivative Of Cot(X) Explained Step By Step

derv cot(x) -(csc^2(x)) The derivative of cot(x) can be found using the quotient rule of differentiation, since cot(x) can be written as cos(x)/sin(x). The quotient rule states:...