Derivatives
The derivative of y=tan(x)
What is sec^2(x)?
Integral of the constant function f(x) = k
What is Kx + C?
When the graph of f(x) changes from increasing to decreasing this occurs.
What is a maxima?
When speed is increasing the signs of velocity are
What is increasing?
Mr. Cottone absolutely HATES this
What is nothing, you can not truly hate anything
The derivative of f(x) + g(x)
What is f’(x) + g’(x)?
The antiderivative of f(x)= x2
What is 1/3 x3
The four types of discontinuities are these
what is: hole, jump, infinite, removable?
If the speed of a particle is decreasing and the velocity is positive, the sign of acceleration is
What is negative?
The ghost names in PacMan are Inky, Pinky, Blinky, and -
What is Clyde?
The derivative of Sin x (x + 1)
What is Sin x + Cos x (x + 1)?
∫ Sin (x) + 10csc^2(x) dx
What is -cos (x) - 10 cot(x) + C?
The graph of f(x) has extrema when f^1 (x) =
What is zero or undefined?
When given v(t), taking v(t)’s derivative would result in
What is position or x(t)?
In the classic mockumentary "The Office", on his farm, Dwight grows this
What are beets?
The definition of a derivative
What is lim h→0 f(x+h) - f(x) / h?
The Fundamental Theorem of Calculus part 2 is defined as this
What is F(b) - F(a) = ∫ f(x)dx (Integral from a to b)?
When finding extrema, the two kinds are relative and absolute also called this
What is global and local?
If the graph of v(t) is positive, this is happening to the position of the particle.
What is it is increasing?
This number is the total amount of languages written right to left
What is 12?
This derivative formula should be used when given an equation like a fraction (2x/x2)
What is the Quotient Rule?
You get this equation when the integral of f(x) is flipped and goes from b to a instead of a to b
What is negative the integral from a to b f(x)dx?
An infinite discontinuity occurs when the curve has this
What is vertical asymptote?
In order to explain the amount of water being drained out of a cup at a negative rate, you would tell that the amount of water is
what is increasing at a negative rate or decreasing at a positive rate?
In the hit animated movie "Shrek", the giant red dragon is named this common English name
What is Elizabeth?