Derivatives
What is the derivative of cos(x)?
What is -sin(x).
This is the derivative of position.
What is Velocity ?
This theorem states that if f (x) is continuous then f(d)=c.
What is the Intermediate Value Theorem?
This is the General Definition of a Reimann's Sum
What is an approximation for the total area under a curve?
Find the average value of f(x)=x^3 over the interval [0,2].
What is 2?
What is the derivative of cot(x)?
This is the Anti-Derivative of Velocity
What is position ?
This theorem is used when taking the Integral of the Derivative.
What is the Fundamental Theorem of Calculus.
What are the 3 types of Reimann sums?
What are Right, Middle, and Left?
Find the average value of f(x)=1/square root(x) over the interval [4,9].
What is 2/5?
What is the derivative of ln(x)?
This is the Derivative of Acceleration.
What is Jerk?
What is the Mean Value Theorem
If the answer is increasing and you are using a Right Reimann Sum, is your approximation an over or under estimate?
What is an over estimate?
Integrate ∫(2x-9 sinx )dx
What is x2+9cosx+C?
What is the derivative of 3x4+5x3+8x2+4x?
This is the Formula for ________.
(final position - initial position) / (total time)
What is Average Velocity?
This Theorem states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative (the slope of the tangent line to the graph of the function) is zero.
What is Rolle's Theorem?
If the answer is decreasing and you are using a Right Reimann Sum, is your approximation an over or under estimate?
What is an under estimate?
This is how you say the product rule when finding the derivative.
What is the (first)(derivative of the second)+(second)(derivative of the first)?
What is the derivative of tan-1(x)?
What is (1)/1+x2.
This is the Derivative of Velocity.
What is Acceleration ?
If f(x)=the integral from 0 to x t3+1, then f'(3)=
What is 28.
This is they type of answer given when using a Riemann's Sum.
What is an approximation?
Which rule do you ALWAYS use when finding the derivative?
What is the Chain Rule?