Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Understanding the Sum and Difference Rules for Differentiation in Calculus

Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________ 1) f'(x) + g'(x)2) f'(x) – g'(x) 1) d/dx [f(x) + g(x)]...

John Rhodes
June 21, 2023
Calculus

Understanding Differentiability in Math: What it Means for Continuity and Derivatives

Differentiability implies ___________________ continuity Differentiability implies that a function is continuous and has a well-defined derivative at each point in its domain. In other words, if a...

John Rhodes
June 21, 2023
Calculus

Understanding Vertical Asymptotes and Removable Discontinuities in Math Functions.

Vertical Asymptote at x= 4 and a hole when x = -3 a A vertical asymptote occurs at a point in a graph where the function approaches...

John Rhodes
June 21, 2023
Calculus

Understanding Horizontal and Vertical Asymptotes in Math: Finding a Function with Both

Horizontal Asymptote at y=3 and Vertical Asymptote at x = 4 b When a function has a horizontal asymptote at y=3, it means that as x approaches...

John Rhodes
June 21, 2023
Calculus

Understanding Vertical Asymptote and Holes in Mathematical Functions: An example with f(x) = (x-1)/(x-1)(x-2)

Vertical Asymptote at x = 2, hole when x = 1 c Vertical asymptote at x = 2 means that the function approaches infinity as x gets...

John Rhodes
June 21, 2023
Calculus

Creating a Function with a Hole at x = -1 and Vertical Asymptote at x = 1

Hole when x = -1, Vertical Asymptote at x = 1 d In order to provide a detailed answer, we need to clarify the question a little...

John Rhodes
June 21, 2023
Calculus

Exploring a Mathematical Function with Horizontal and Vertical Asymptotes: Understanding f(x) = k/x

Horizontal Asymptote y=0 and a Vertical Asymptote at x = 0 e A function with a horizontal asymptote of y=0 and a vertical asymptote at x=0 would...

John Rhodes
June 21, 2023
Calculus

Understanding Horizontal Asymptotes and Points of Discontinuity in Functions.

Horizontal Asymptote at y=0 and 3 points of discontinuity f Horizontal asymptote at y=0: A horizontal asymptote is a straight line that the graph of a function...