Calculus | Senioritis

John Rhodes
July 8, 2023
Calculus

The Chain Rule: Finding the Derivative of sin(x) with Respect to x

d/dx sinx To find the derivative of the function f(x) = sin(x) with respect to x, we can use the chain rule To find the derivative of...

John Rhodes
July 8, 2023
Calculus

How to Write a Quadratic Function in Factored Form with a Vertex at x = 3 and Two Distinct Roots

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots. To write...

John Rhodes
July 8, 2023
Calculus

Determining the Function with a Vertex at (2, -9)

Which function has a vertex at (2, -9)?f(x) = -(x – 3)2f(x) = (x + 8)2f(x) = (x – 5)(x + 1)f(x) = -(x – 1)(x –...

John Rhodes
July 8, 2023
Calculus

Determining Correct Math Claims: Y-Intercept, X-Intercepts, and Vertex

Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.Jeremiah:...

John Rhodes
July 8, 2023
Calculus

Identifying the Graph of the Quadratic Function f(x) = (x – 3)^(2): A Comprehensive Analysis and Comparison of Options

Which graph represents the function f(x) = (x – 3)2? To determine which graph represents the function f(x) = (x – 3)^(2), we can first identify the...

John Rhodes
July 8, 2023
Calculus

How to Find the Vertex of a Quadratic Function: Step-by-Step Guide and Example

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?(,) To find the vertex of a quadratic function in the form f(x)...

John Rhodes
July 8, 2023
Calculus

Finding the x-intercepts of a quadratic function: Step-by-step guide with examples

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?(-4, 0)(-2, 0)(0, 2)(4, -2) To find the x-intercepts of the quadratic...

John Rhodes
July 8, 2023
Calculus

The Chain Rule for Finding the Derivative of the Inverse Cosine Function (Arccos(x)): A Step-by-Step Guide

Derivative of arccos(x) To find the derivative of the inverse cosine function (arccos(x)), we can use the chain rule To find the derivative of the inverse cosine...