BASIC DERIVATIVE RULES (Unit 2-3)

• @@-rac{1}{ an^2 u} rac{du}{dx}@@

• @@-rac{d}{du}( an u)@@

• @@-rac{1}{ an^2 u}@@

• @@- ext{csc}^2 u rac{du}{dx}@@

If the velocity of an object is represented by @@v(t)@@, then acceleration is represented by

• @@v'(t)@@

• @@rac{dv}{dt}@@

• @@rac{d^2v}{dt^2}@@

• @@v(t) + c@@

If the position of an object is represented by @@x(t)@@, then acceleration is represented by

• @@x'(t)@@

• @@x''(t)@@

• @@rac{dx}{dt}@@

• @@rac{d^2x}{dt^2}@@