Limits
Derivatives
Implicit Differentiation
Integration
Random!
100

What are limits? 

What is "The value that a function approaches as that function's inputs get closer to some number"?

100

What are derivatives?

What is "the instantaneous rate of change of a function with respect to one of its variables"?

100

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"?

100

What is Integration? 

What is "a method of adding or summing up the parts to find the whole"?

100

What is the reciprocal of sine?

What is Cosecant or CSC?

200

What is the formula for limits?

























































































































lim f(x) = a or f(a)

x-->a

200

What is the derivative formula? 






d/dx * xn = n*xn-1

200
What is the formula for finding the first derivative? 

f'(x)=lim h --> 0 

F(x+h)-f(x)/h

200

What is the formula for indefinite integration?

∫ g'(x)dx = g(x) + c 

200

What does the symbol y' mean? 

What is "derivative"?

300

True or false: The idea of a limit is the basis of all calculus?

True 

300

The derivative of sec x with respect to x is given by? 

sec x tan x 

300

If  , then find dy/dx


Answer = -y2/x2

300

What is the value of ∫8x3dx ? 

Answer= 2x4+C

300

What does the symbol y" mean 

What is the second derivative? 

400

What is the limit of 1-cos(x)/0 as X-->) ?

Answer= 0 

400

What is the derivative of f(x) = ln [g(x)] ? 

f' (x) = g'(x)/g(x)

400

If x6+y6+6x2y2-8=0, use implicit differentiation to find dy/dx when (x,y) = (1,1)

Answer = -1 

400

What is the basic integration formula? 

∫ f'(x) dx = f(x) + C

400

What is the volume of a cylinder that has a radius of 6 and a height of 12?

V≈ 1357.17 

500

What is the limit of (1+x)1/x as x --> 0?

Answer = e 

500

Which test is helpful in determining the local maxima and minima of a function? 

The First Derivative Test

500

If 4x2-y2=9, then find dy/dx. 

Answer = 4x/y

500

What is the value of ∫Cos x dx + ∫ x dx ?

Answer= sin x + x2/2 + C

500

What is the formula for logarithms? 


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