Calculus | Senioritis

John Rhodes
July 30, 2023
Calculus

Understanding the Concept of dy/dx < 0 | How a Negative Derivative Indicates Decreasing y as x Increases

When dy/dx < 0 as x increases... When dy/dx < 0 as x increases, it means that the derivative of y with respect to x is negative,...

John Rhodes
July 30, 2023
Calculus

Understanding the Meaning of dy/dx = 0 | The Significance of a Horizontal Tangent Line in Calculus

When dy/dx = 0 When dy/dx = 0, it means that the derivative of the function y with respect to x is equal to zero When dy/dx...

John Rhodes
July 30, 2023
Calculus

Understanding Local Maximums | Exploring the Relationship Between Derivatives and Increasing/Decreasing Behavior in Functions

When f'(x) changes from positive to negative, that turning point is a When the derivative of a function, f'(x), changes from positive to negative, it indicates that...

John Rhodes
July 30, 2023
Calculus

Understanding Inflection Points | How Changes in the Derivative Signal a Shift in Concavity

When f'(x) changes from negative to positive, that point is a When the derivative, f'(x), changes from negative to positive at a certain point on the graph...

John Rhodes
July 30, 2023
Calculus

The Relationship Between Critical Points and Turning Points in Mathematics | Explained

All turning points are _________ points but not all stationary points are ________ All turning points are critical points but not all stationary points are critical points...

John Rhodes
July 30, 2023
Calculus

Understanding the Triangle Property | Importance of the Triangle Inequality and Angle Sum Property

What two conditions are necessary for a TP In mathematics, a TP (Triangle Property) is a property that applies to the sides and angles of a triangle...

John Rhodes
July 30, 2023
Calculus

Understanding the Shape of a Curve | The Implications of a Negative Second Derivative (y” < 0)

When y” < 0, the curve is When y” < 0, it means that the second derivative of the function y(x) is negative When y” < 0,...

John Rhodes
July 30, 2023
Calculus

Understanding Math | Explaining the Meaning of y” > 0 and the Concept of Concave Upward Curves

When y” > 0, the curve is When y” > 0, it means that the second derivative of the curve with respect to the x-axis is positive...