Formulas of Derivatives
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
Can also be written as
h'(x) = f'(g(x)) . g'(x)
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