 Formulas of Derivatives

 Formulas

Here are the formulas you should remember about derivation.

Consider two constants c and d and consider two function cf(x) and dg(x). The derivative of

`(cf(x) + dg(x))' = cf'(x) + dg'(x)`

Consider u a function. Consider that du/dx is its derivative. Consider u elevated to the power of n as in

`f(x) = un ` Consider u a function. Consider that du/dx is the derivative of that function. Consider f(u) Consider the sum of two functions u + v

`(u + v)' = u' + v'`

Consider the sum of three functions u + v + w

`(u + v + w)' = u' + v' + w'`

Consider the product of two functions uv

`(uv)' = u'v + uv'`

Consider the product of three functions uvw

`(uvw)' = u'vw + uv'w + uvw'`

Consider c a constant real number and a function defined as  Consider the inverse of a function 1/u Can also be written as: Consider a constant number c and a function u defined as follows:  Consider the division of two functions as u/v Chain Rule Can also be written as

`h'(x) = f'(g(x)) . g'(x) `

Power Rule   