What are limits?
What is "The value that a function approaches as that function's inputs get closer to some number"?
What are derivatives?
What is "the instantaneous rate of change of a function with respect to one of its variables"?
What is Implicit Differentiation?
What is "we differentiate each side of an equation with two variables (usually x and y) by treating one of the variables as a function of the other"?
What is Integration?
What is "a method of adding or summing up the parts to find the whole"?
What is the reciprocal of sine?
What is Cosecant or CSC?
What is the formula for limits?
lim f(x) = a or f(a)
x-->a
What is the derivative formula?
d/dx * xn = n*xn-1
f'(x)=lim h --> 0
F(x+h)-f(x)/h
What is the formula for indefinite integration?
∫ g'(x)dx = g(x) + c
What does the symbol y' mean?
What is "derivative"?
True or false: The idea of a limit is the basis of all calculus?
True
The derivative of sec x with respect to x is given by?
sec x tan x
If , then find dy/dx
Answer = -y2/x2
What is the value of ∫8x3dx ?
Answer= 2x4+C
What does the symbol y" mean
What is the second derivative?
What is the limit of 1-cos(x)/0 as X-->) ?
Answer= 0
What is the derivative of f(x) = ln [g(x)] ?
f' (x) = g'(x)/g(x)
If x6+y6+6x2y2-8=0, use implicit differentiation to find dy/dx when (x,y) = (1,1)
Answer = -1
What is the basic integration formula?
∫ f'(x) dx = f(x) + C
What is the volume of a cylinder that has a radius of 6 and a height of 12?
V≈ 1357.17
What is the limit of (1+x)1/x as x --> 0?
Answer = e
Which test is helpful in determining the local maxima and minima of a function?
The First Derivative Test
If 4x2-y2=9, then find dy/dx.
Answer = 4x/y
What is the value of ∫Cos x dx + ∫ x dx ?
Answer= sin x + x2/2 + C
What is the formula for logarithms?