Calculus | Senioritis

John Rhodes
July 30, 2023
Calculus

Demystifying Quadratic Parent Functions | Characteristics, Properties, and Transformation Analysis

Graph of Quadratic Parent Function The graph of a quadratic parent function is a U-shaped curve called a parabola The graph of a quadratic parent function is...

John Rhodes
July 30, 2023
Calculus

Converting Radians to Degrees | A Simple Formula and Example

Converting from Radian to Degree To convert from radians to degrees, you can use the following formula: Degrees = Radians * (180/π) Where π (pi) is a...

John Rhodes
July 30, 2023
Calculus

Conditions for the Existence of f(2) | Exploring Continuity and Differentiability

Which of the following statements, if true, can be used to conclude that f(2) exists?i. limx→2f(x) exists.ii. f is continuous at x=2.iii. f is differentiable at x=2....

John Rhodes
July 30, 2023
Calculus

Composition of Functions | Finding the Mathematically Optimized Composition of f(g(x))

8) Find the composition of the function.f(x) = 1/x^2 and g(x) = 1/x^3 . Find f(g(x)). To find the composition of f(g(x)), we need to substitute g(x)...

John Rhodes
July 30, 2023
Calculus

Comparing Derivatives | Finding the Correct Statement about f'(x) at given points

2. Let f be the function given by f(x) = (1/7)x^7 – (7/6)x^6 + 3x^5 – (5/4)x^4 – (16/3)x^3 + 6x^2. Which of the following statements is...

John Rhodes
July 30, 2023
Calculus

Common Reasons Why a Function May Not Be Differentiable | Discontinuity, Corners & Cusps, Vertical Tangents, Sharp Points, and Jump Discontinuity

qualities that make a function not differentiable There are a few qualities that can make a function not differentiable at a specific point or in a certain...

John Rhodes
July 30, 2023
Calculus

Calculus Explained | Average Rate of Change for Functions and Intervals

average rate of change The average rate of change is a concept in mathematics that measures the average rate at which a quantity changes over a given...

John Rhodes
July 30, 2023
Calculus

Calculus | How to Find the Derivative of y = x sin x using the Product Rule and Chain Rule

If y = x sin x, then dy/dx = To find the derivative of y with respect to x, we can use the product rule and the...