Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Learn How To Compose Functions In Math: Find G(F(X)) With Ease!

Find the composition of the function.f(x)=1/x^2 and g(x)=1/x^3 . Find g(f(x)). x^6 To find g(f(x)), we need to first find f(x), and then use that value to...

John Rhodes
June 21, 2023
Calculus

Mathematical Composition: How To Find F(G(X)) And Optimize Your Functions

Find the composition of the function.f(x)=1/x and g(x)=x+5 Find f(g(x)). 1/(x+5) To find f(g(x)), we need to first evaluate g(x) and then take the result and plug...

John Rhodes
June 21, 2023
Calculus

Discovering The Significance Of Vertices In Graphs, Polyhedra, And Geometry: Applications In Mathematics, Computer Science, Physics, And Engineering

Vertex The point where two segments meet. A vertex is a mathematical term that refers to a point at which two or more physical or abstract entities,...

John Rhodes
June 21, 2023
Calculus

Local Maximum In Math: Definition, Properties And Determining Global Maximum

f has a local (relative) maximum at x=a f(a) is greater than or equal to every other y-value in some interval containing x=a If function f has...

John Rhodes
June 21, 2023
Calculus

Acceleration: Exploring The Rate Of Change In An Object’S Position Over Time.

Acceleration (in terms of position) d^2s/dt^2, where s(t)=position Acceleration is the rate at which the velocity of an object changes with respect to time. In terms of...

John Rhodes
June 21, 2023
Calculus

How Friction, Air Resistance, And Gravity Affect Decreasing Speed In Objects

Decreasing speed Velocity and acceleration have opposite signs Decreasing speed means that an object is slowing down, or that its velocity is decreasing. There are several factors...

John Rhodes
June 21, 2023
Calculus

Average Rate Of Change In Calculus: Defining, Calculating, And Interpreting The Relationship Between Variables.

Average Rate of Change of f on [a,b] f(b)-f(a)/b-a The average rate of change of a function f on the interval [a, b] is defined as the...

John Rhodes
June 21, 2023
Calculus

How To Calculate Derivatives: The Fundamentals Of Function Behavior

Definition of derivative f'(x) = f(a+h)-f(a)/h The derivative of a function f(x) is a measure of the rate at which the function changes with respect to its...