Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: And Applying The Intermediate Value Theorem

Intermediate Value Theorem if f(x) is continuous on [a,b], then there will be a point x=c that lies in between [a,b] such that f(c) is between f(a)...

John Rhodes
June 21, 2023
Calculus

Maximize Your Function’S Potential With The Extreme Value Theorem: Explained.

Extreme Value Theorem if f(x) is continuous on [a,b], then f(x) has an absolute max or min on the interval The Extreme Value Theorem states that if...

John Rhodes
June 21, 2023
Calculus

Rolle’S Theorem Explained: The Conditions For Critical Points In Calculus

Rolle’s Theorem if f(x) is continuous on [a,b] and differentiable on (a,b), and if f(a)=f(b), then there is at least one point (x=c) on (a,b) where f'(c)=0...

John Rhodes
June 21, 2023
Calculus

The Mean Value Theorem In Calculus: Applications And Techniques

Mean Value Theorem if f(x) is continuous on [a,b] and differentiable on (a,b), there is at least one point (x=c) where f'(c)= f(b)-f(a)/b-a The Mean Value Theorem...

John Rhodes
June 21, 2023
Calculus

Solving Inverse Proportion Equations: Using Proportionality Reasoning To Find The Value Of K Or X

y = k/x dy/dx = -k/x^2 The equation y = k/x is an inverse proportion equation. This means that as x increases, y decreases and vice versa....

John Rhodes
June 21, 2023
Calculus

How To Understand The Equation Y = K√X And Its Proportional Relationship Between Variables

y=k√x dy/dx=k/2√x The given equation is y = k√x, where k is a constant. To understand this equation, we first need to know what a square root...

John Rhodes
June 21, 2023
Calculus

Discovering The Limit Of Sinx/X Using L’Hôpital’S Rule: Math Tutorial

lim as x->0 of sinx/x 1 To find this limit, we can use L’Hôpital’s rule, which states that if we have an indeterminate form, such as 0/0...

John Rhodes
June 21, 2023
Calculus

Mastering Limits: Using L’Hopital’S Rule To Evaluate The Limit Of (Cos(X) – 1)/X As X Approaches 0

lim as x->0 of cosx-1/x 0 To evaluate the limit as x approaches 0 of (cos(x) – 1)/x, we will use L’Hopital’s rule in the following way:...