Derivatives
The derivative of x^2 is this
What is 2x?
This must be included every time you take an antiderivative
What is +c?
This is the area calculation process that utilizes trapezoids.
What is the “Trapezoidal Rule?”
This is the derivative of sin x
What is cos x?
This is the name of the philosopher responsible for creating the Pythagorean theorem?
Who is Pythagoras?
This is the derivative rule where you multiply by the power and then subtract one from the power.
What is the power rule?
This is the antiderivative of 2x
What is x^2
This is the solution for the integral ∫2x2 dx.
What is ⅔ x3 ?
This is the antiderivative of sin x
What is -cos x?
This is the only number from 0 to 1000 that has a “a” in it.
What is “1000”?
The derivative of an equation represents this.
What is the instantaneous rate of change?
This is the antiderivative of x^2
What is (x^3)/3+c
The part of Fundamental Theorem where “f” is continuous and “F” is any antiderivative of “f.”
What is “Integral Evaluation Theorem?”
This is cos pi/3
What is ½?
This is the culture that the symbol for pi originated from.
What is Greek?
The derivative of cos(x^2) is this.
What is -2sin(x^2)
This rule is applied to the following: ∫k*f(x)dx=k*∫f(x)dx
What is the constant multiple rule?
These rules are used to solve the integral
y= ∫x^22x 1/3t2 dt.
What is “Additivity” and “Order of Integration?”
This is tan^2(x) + 1
What is sec^2(x)
This is where the first mathematical textbooks were available.
What is Mesopotamia ?
The derivative of arccsc(x^3) is this.
What is -(3x^2)/|x|sqrt (x^6)-1?
This is 1
What is x?
This is the difference between integral calculus and differential calculus.
What is a focus on rate of change versus total size/value?
This is the range of tan^-1(x)
What is -pi/2 , pi/2
This mathematician developed ways to find areas under a curve.
Who is Newton and Leibniz?