Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Concave Down Functions: The Role Of Second Derivative F”(X)

If f(x) is concave down, then f”(x) is? f”(x) = negative If a function f(x) is concave down, it means that it is curving downwards or has...

John Rhodes
June 21, 2023
Calculus

Why F'(X) Being Increasing Implies That F”(X) Is Positive? | Explanation And Example

If f'(x) is increasing, then f”(x) is? y-f(a)=f'(a)(x-a) If f'(x) is increasing, then f”(x) is positive. To explain this, let’s first define what it means for a...

John Rhodes
June 21, 2023
Calculus

How Decreasing F'(X) Indicates Negative F”(X) For Graphs Of Functions – An Explanation For Math Enthusiasts.

If f'(x) is decreasing, then f”(x) is? f'(a) If f'(x) is decreasing, it means that the slope of the tangent line to the graph of f(x) is...

John Rhodes
June 21, 2023
Calculus

Discovering The Absolute Minimum Of Functions: A Guide To Calculus Critical Points And Behavior

Absolute Minimum The lowest point over the entire domain of a function or relation. The absolute minimum is the lowest possible value that a function or expression...

John Rhodes
June 21, 2023
Calculus

Discovering The Absolute Maximum Of A Function: A Guide For Calculus And Optimization

Absolute Maximum The highest point over the entire domain of a function or relation. The absolute maximum of a function is the highest value that the function...

John Rhodes
June 21, 2023
Calculus

Acceleration In Physics: Definition, Formula, And Units

Acceleration The rate of change of velocity over time. Second derivative. Acceleration is a fundamental concept in physics and refers to how much an object’s velocity changes...

John Rhodes
June 21, 2023
Calculus

Amplitude In Physics: The Measure Of Wave Strength, Magnitude And Intensity

Amplitude Half the difference between the minimum and maximum values of the range. Radius of the range. In physics, amplitude is a term used to refer to...

John Rhodes
June 21, 2023
Calculus

Mastering Math Approximation Techniques: Rounding, Interpolation, Extrapolation, And More

Approximation … In mathematics, approximation refers to the process of finding an estimate of a value, quantity or function that is close enough to the exact value...