Mathematics | Senioritis

John Rhodes
July 31, 2023
Calculus

Understanding the Derivative | Calculating Rate of Change and Tangent Slopes

alternate version of def. of derivative The derivative of a function at a given point can be defined as the instantaneous rate of change of the function...

John Rhodes
July 31, 2023
Calculus

Understanding Continuity in Functions | Explained with Examples

definition of continuity: f is continuous at c iff the following three conditions are satisfied: 1 the following three conditions are satisfied: 1. f(c) is defined: The...

John Rhodes
July 31, 2023
Calculus

Understanding the Product Rule | Finding the Derivative of the Product of Two Functions

d/dx [uv] The expression d/dx [uv] represents the derivative of the product of two functions, u(x) and v(x), with respect to the variable x The expression d/dx...

John Rhodes
July 31, 2023
Calculus

Understanding the Chain Rule and How to Differentiate Composite Functions

d/dx f(g(x)) To differentiate the composite function f(g(x)) with respect to x, we will use the chain rule To differentiate the composite function f(g(x)) with respect to...

John Rhodes
July 31, 2023
Calculus

Understanding the Derivative of the Sine Function | Why it Equals Cosine

Derivative of: sin(x) The derivative of the function sin(x) can be found using the basic differentiation rules The derivative of the function sin(x) can be found using...

John Rhodes
July 31, 2023
Calculus

Understanding the Chain Rule | Finding the Derivative of Cos(x)

Derivative of:cos(x) The derivative of the function cos(x) can be found using the chain rule of differentiation The derivative of the function cos(x) can be found using...

John Rhodes
July 31, 2023
Calculus

Understanding the Derivative | How to Find the Derivative of the Tangent Function using the Quotient Rule

Derivative of:tan(x) The derivative of the tangent function, denoted as tan(x), can be found using the quotient rule The derivative of the tangent function, denoted as tan(x),...

John Rhodes
July 31, 2023
Calculus

The Quotient Rule for Differentiation | How to Find the Derivative of sec(x)

Derivative of:sec(x) To find the derivative of sec(x), we can use the quotient rule To find the derivative of sec(x), we can use the quotient rule. First,...