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# Test 2

### 2.2 - 2.6

Position Function s(t) = (1/2)g(t^2) + Vot + So... g(gravity) = -32 ft/sec^2... OR g(gravity) = -9.8 m/sec^2... Vo - initial velocity... So - initial position...
Velocity Function v(t) = s'(t)
Value of Gravity -32 ft/sec^2... -9.8 m/sec^2
Acceleration Function a(t) = v'(t) = s"(t)
Constant Multiple Rule d/dx[cf] = cf'
Sum or Difference Rule d/dx[f(+-)g] = f'(+-)g'
Product Rule d/dx[fg] = fg' + gf'
Quotient Rule d/dx[(f/g)] = (gf'-fg')/(g)^2 (LoDHi-HiDLo)/LoLo
Constant Rule d/dx[c] = 0
(Simple) Power Rule d/dx[x^n] = nx^(n-1) d/dx[x] = 1
d/dx[sin(x)] cos(x)
d/dx[tan(x)] sec^2(x)
d/dx[sec(x)] sec(x)tan(x)
d/dx[cos(x)] -sin(x)
d/dx[cot(x)] -csc^2(x)
d/dx[csc(x)] -csc(x)cot(x)
Chain Rule d/dx[f(u)] = f'(u) * u'
General Power Rule d/dx[u^n] = nu^(n-1) * u'
Pythagorean Theorem a^2 + b^2 = c^2
Area of Circle Area = pi*r^2
Circumference of Circle C = 2*pi*r... C = pi*d
Volume of Cone V = (1/3)*pi*(r^2)*h