Calculus | Senioritis

John Rhodes
July 6, 2023
Calculus

Mastering Differentiation: The Fundamental Rule to Find the Derivative of cos(x)

𝑑/𝑑𝑥[cos 𝑥] To find the derivative of cos(x), we can use the differentiation rules To find the derivative of cos(x), we can use the differentiation rules. The...

John Rhodes
July 6, 2023
Calculus

The Chain Rule: Derivative of sin(x) with Respect to x is cos(x)

𝑑/𝑑𝑥[sin 𝑥] To differentiate sin(x) with respect to x, we can use the derivative rules To differentiate sin(x) with respect to x, we can use the derivative...

John Rhodes
July 6, 2023
Calculus

The Power Rule: Finding the Derivative of 𝑥ⁿ with respect to 𝑥

𝑑/𝑑𝑥[𝑥^𝑛] To find the derivative of 𝑥ⁿ with respect to 𝑥, we can use the power rule. To find the derivative of 𝑥ⁿ with respect to 𝑥,...

John Rhodes
July 6, 2023
Calculus

Derivative of c𝑥: Using the Power Rule for Differentiation

𝑑/𝑑𝑥[𝑐𝑥] To find the derivative of 𝑐𝑥, where 𝑐 is a constant, we can use the power rule of differentiation. To find the derivative of 𝑐𝑥, where...

John Rhodes
July 6, 2023
Calculus

Understanding Derivatives: The Derivative of 𝑥 with Respect to 𝑥 is Always 1

𝑑/𝑑𝑥[𝑥] The expression 𝑑/𝑑𝑥[𝑥] represents the derivative of the function 𝑥 with respect to 𝑥. Ta The expression 𝑑/𝑑𝑥[𝑥] represents the derivative of the function 𝑥 with...

John Rhodes
July 6, 2023
Calculus

Understanding Derivatives: The Secret to Finding the Derivative of a Constant Term

𝑑/𝑑𝑥[𝑐] To find the derivative of a constant term, such as “c” with respect to “x,” the derivative will always be zero To find the derivative of...

John Rhodes
July 6, 2023
Calculus

Testing for Symmetry Around the Origin: A Step-by-Step Guide with Examples

How to test for symmetry for the origin To test for symmetry around the origin, we need to determine if a function remains unchanged when we replace...

John Rhodes
July 6, 2023
Calculus

Understanding Symmetry with Respect to the Y-Axis in Mathematical Functions and Graphs

How to test for symmetry for the y-axis To test for symmetry with respect to the y-axis in a mathematical function or graph, we need to check...