velocity/acceleration/distance
How do you find velocity given position?
Take the derivative.
What is another name for a derivative?
What is another form of antiderivates?
Integral.
When does a limit exist?
When left and right hand sides agree.
What is the inverse trig function of sin(x)?
(1)/(1-x2)1/2.
How do you find velocity given acceleration?
Take the antiderivate.
What is the derivative of 2x?
2.
What can't you forget when writing an antiderivative with an open integral?
+C.
What rule is used when a limit equals 0/0?
L'Hopital's Rule.
What is the inverse trig function of cos(x)?
-(1)/(1-x2)1/2.
How do you find acceleration given position?
What is the derivative of 4x6?
24x5.
What is the antiderivative of 4x?
2x2+C.
When a limit is going to infinity, what do you look at first?
The largest exponent on top and bottom
What is the inverse trig function of tan(x)?
(1)/(1+x2).
Initial condition + displacement.
What are the steps in the chain rule?
Outside in (power, trig, angle).
What is the antiderivative of 7x5?
(7/6)x6+C
What happens if the limit is going to infinity and the top exponent is greater than the bottom one?
DNE.
What is the inverse trig function of sec(x)
(1)/(x2(1-1/x2)1/2).
The position of a particle at x=0 is given by the equation x=5t2+8. What is the particle's velocity at t=2?
20
What is the derivative of (sin(4x))7?
28sin(4x)6(cos(4x)).
What do you do when it asks you how much, how many, total, etc.
Integrate that sucker!
Lim (x2-x-2)/(x2-2x)
x-> 1
2.
What is the inverse trig function of cot(x)?
-(1)/(1+x2)