Position: r(t)
Velocity: v(t) = derivative of position(r(t)')
Acceleration: a(t) = derivative of velocity(second derivative of position) (v(t)' is the same as r(t)'')
Sin(x)' = Cos(x)
Cos(x)' = -Sin(x)
Tan(x)' = (Sec(x))^2
Csc(x)' = -Cot(x)Csc(x)
Sec(x)' = Tan(x)Sec(x)
Cot(x)' = -(Csc(x))^2
ln(x)' = 1/x
Power Rule:
(x^n)' = nx^(n-1)
Product Rule:
xg = x'g+xg'
Quotient Rule:
x/g = (x'g-xg')/g^2
Chain Rule:
(f of g)(x)' = f'(g(x))g'(x)
ex) F(x) = sin(3x)
F'(x) = 3cos(3x)
More to come...
