Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

How to Define Derivative in Mathematics: Understanding the Concept and Applications

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c The derivative of a function at a particular point can be defined as the rate...

John Rhodes
June 21, 2023
Calculus

How to Prove the Fundamental Limit in Calculus: The Squeeze Theorem for Evaluating the Limit of (sinx/x) when x→0.

limit as x approaches 0: sinx/x 1 To evaluate this limit, we can use the following trigonometric identity: lim x→0 (sinx/x) = 1 This identity is a...

John Rhodes
June 21, 2023
Calculus

Mastering Limit Calculation: Finding the Limit of 1-CosX/X as X Approaches Zero Using L’Hospital’s Rule and Trigonometric Identities

limit as x approaches 0: 1-cosx/x 0 To find the limit as x approaches 0 of 1-cosx/x, we can use the L’Hospital’s rule or trigonometric identities. Using...

John Rhodes
June 21, 2023
Calculus

The Importance of the Continuity Rule in Calculus: Understanding the Behavior of Functions at Critical Points

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule is...

John Rhodes
June 21, 2023
Calculus

Learn How to Find Derivatives: Step-By-Step Guide with an Example Function.

Basic Derivative f(x^n)= nX^(n-1) A derivative is a mathematical concept that measures the rate at which a function changes. It is denoted by the symbol dy/dx and...

John Rhodes
June 21, 2023
Calculus

Master the Derivative of sin(x) with Respect to x | Learn to Calculate d/dx(sin(x)) = cos(x)

d/dx(sinx) cosx The derivative of sin(x) with respect to x (dx) is cos(x), which means: d/dx(sin(x)) = cos(x) We can prove this using the limit definition of...

John Rhodes
June 21, 2023
Calculus

How to Find the Derivative of Cos(x) Using Chain Rule of Differentiation

d/dx(cosx) sinx To find the derivative of cos(x) with respect to x, we need to use the chain rule of differentiation. The chain rule states that if...

John Rhodes
June 21, 2023
Calculus

Master the Art of Calculus with our Guide on How to Find the Derivative of Tanx with Respect to X

d/dx(tanx) sec²x To differentiate tanx with respect to x, we need to apply the formula for the derivative of the tangent function, which is: d/dx(tanx) = sec²x...