Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

How To Use The Quotient Rule For Finding Derivatives In Calculus

Quotient rule of f(x)/g(x) g(x)f'(x)-f(x)g'(x)/g(x)² The quotient rule is a formula used in differential calculus to find the derivative of a function that is in the form...

John Rhodes
June 21, 2023
Calculus

Discover The Power Of The Intermediate Value Theorem In Calculus

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

Maximizing And Minimizing Functions: The Significance Of The Extreme Value Theorem In Calculus Optimization

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 is a fundamental...

John Rhodes
June 21, 2023
Calculus

How Rolle’S Theorem Helps Find Horizontal Tangents And Multiple Roots Of Polynomial Equations 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 Power Of Mean Value Theorem In Calculus Optimization: Finding Critical Points And Extrema

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
Geometry

Circumscribed: Exploring The Mathematical And Figurative Meanings Of The Term

Circumscribed When a circle contains all the vertices of a polygon The term circumscribed refers to something that is completely surrounded or enclosed by another thing. In...

John Rhodes
June 21, 2023
Geometry

Mastering The Mathematics Of Diameter: Finding Circumference, Area, And Volume In Circles And Spheres

Diameter A chord that passes through the center of a circle Diameter is a geometric term that refers to the length of a straight line segment that...

John Rhodes
June 21, 2023
Geometry

Discover The Benefits Of Inscribed Shapes In Geometry And Real-Life Applications

Inscribed Vertices that lie on a circle in a polygon An inscribed shape is a geometric shape such as a circle, triangle, square or polygon that is...