Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

How The Instantaneous Rate Of Change (Derivative) Is Used In Physics, Economics, And Engineering

instantaneous rate of change (2.1) slope of the tangent line The instantaneous rate of change, also known as the derivative, is the rate at which a function...

John Rhodes
June 21, 2023
Calculus

Limits In Mathematics: Why (2.2) Can’T Be Determined And How Limits Apply To Functions

limit (2.2) the limit of f(x) as x approaches a is L (see notes for formula)ex. how fast something is moving right before it hits or stops...

John Rhodes
June 21, 2023
Calculus

Proven: The Derivative Of Sin(X) Is Cos(X)

d/dx sin(x) cos(x) The derivative of sin(x) with respect to x is cos(x). We can use the definition of the derivative to prove this: Recall that the...

John Rhodes
June 21, 2023
Calculus

Learn How To Find The Derivative Of Tan(X) Using The Trigonometric Function Formula

d/dx tan(x) sec^2 (x) To find the derivative of tan(x), we need to use the derivative of the trigonometric function formula. In this case, we have a...

John Rhodes
June 21, 2023
Calculus

Discover How To Derive The Derivative Of Sec(X) With The Chain Rule And Secant Function | Math Tips

d/dx sec(x) sec(x)tan(x) Using the chain rule and the derivative of the secant function, we can find the derivative of sec(x) with respect to x: Let y...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Cosecant Function Using Quotient Rule Of Differentiation

d/dx csc(x) -csc(x)cot(x) We can start this problem by using the quotient rule of differentiation since the cosecant function could be expressed as 1/sin(x). So, applying the...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Cot(X) Step By Step – A Comprehensive Guide For Students And Professionals

d/dx cot(x) -csc^2 (x) To find the derivative of cot(x) with respect to x, we must use the quotient rule since cot(x) can be rewritten as cos(x)/sin(x)....

John Rhodes
June 21, 2023
Calculus

Linear Functions: Definition, Formula And Usage

Linear Function f(x) = x A linear function is a mathematical function that has a constant rate of change between its independent variable (usually represented by x)...