Derivatives and Integrals
The formula for a functions area under the curve over a given span.
What is an integral?
When a function whose signs stay the same after inputting -x. [f(x)=f(-x)]
What is an even function?
The limit(s) of x values on a graph.
What is domain?
The slope of a function at a given point on the graph.
What is the derivative?
A function whose signs are inverted after inputting -x. [f(-x)=-f(x)]
What is an odd function?
A graph with no holes or breaks in it.
What is continuous?
F(x)’= 3x^2
What is the derivative of x^3?
Is 2x^3-x even, odd or neither?
Odd, after imputing -x it is clear the signs are inverted, f(-x)= -2x^3+x.
A true mathematical statement.
What is a theorem?
F(x)^-1= x^4/4 + C
Is the function 4-6x^2 odd, even or neither?
Even, after imputing -x it is shown the signs have not inverted, f(-x)=4-6(-x)^2= 4-6x^2.
The speed at which an object is moving in a certain direction.
What is velocity?