Limits and Continuity
If the left-hand limit and right-hand limit are not equal, the limit ____.
What is Does Not Exist?
Baby dino is deriving this equation: d/dx (c). The answer is _____.
What is 0?
Baby dino used the constant rule.
The derivative of a canstant is zero.
Ms. Dino is very sad because her students gave x3-2x2+5x as the answer to the integral of (3x2-4x+5)dx. They are missing ______.
What is +C
YOU MUST ALWAYS REMEMBER +C!!!!!!!!!!!
The derivative of position is ____.
What is velocity?
The order is: position, velocity, acceleration.
When a function is concave up, a trapezoidal sum gives this kind of an estimation.
What is an overestimation?
Name the main three types of discontinuities.
What are removable discontinuities, jump discontinuities, and infinite discontinuities?
When Ms. Dino says the derivative of x5 is 5x4, she is using this rule.
What is the power rule?
Solve the integral of (10x-3+12x-9+4t3)dx.
What is -5x-2-3/2x-8+x4+c?
Ms. Velocityraptor says the asteroid is coming with a position at time t (in seconds) of t3-6t2+9t. Find the velocity.
What is 3t2-12t+9?
To get more accurate results, rectangles should be drawn ________(smaller or larger).
What is smaller?
The limit of sin x / x as x -->0 is ____.
What is 1?
Baby Dino wants to use the chain rule on this equation: d/dx (x+34x)2. The outer function and inner function are ____ and ____.
Inner function is: 35x
Baby dino wants to check an indefinite integral. So she will ______.
What is derive her solution?
The asteroid's position is given as s(t) = 2t2-4t at t=3. Find velocity.
What is 8?
This type of sum is best for a function with alternating concavity.
What is midpoint sum?
Find the limit of (x2-4)/(x-2) as x-->2.
What is 4?
Ms. Dino keeps saying "Low d-high minus High d-low over low low"
But Baby Dino wasn't listening! Now, Baby Dino is confused. Help Baby Dino find what derivative rule Ms. Dino is talking about.
For reference, the actual equation is:
(g(x) f'(x) - f(x)g'(x))/(g(x))2
Find the solution of the integral (sin(x) + 10 csc2(x))dx.
What is -cos(x) - 10 cot(x) +c?
True or False: The integral of velocity is acceleration.
What is false, it is position?
What is an overestimate?