Calculus Tutor Flashcards
1
Q
What happens when you take the derivative of Position?
A
You get Velocity.
2
Q
what is the derivative of something?
A
The slope of your curve, the rate of change.
3
Q
When you take the derivative of velocity, what do you get?
A
Acceleration.
4
Q
What is the slope of the position function p(t)?
A
The velocity function p(t) = v(t)
5
Q
What is the slope of the velocity function v(t)?
A
The acceleration function v(t) = a(t)
6
Q
What is the slope of the acceleration?
A
the slope of a curve, ie derivative!
7
Q
What is the derivate of p(t) = t^2?
A
v(t) = 2t
8
Q
How do you write the derivative of p(t)?
A
v(t) = p`(t) = dp(t) / dt = “slope of…”
9
Q
How do you annotate second derivative?
A
p``(t) = d^2p(t) / dt^2
