Here are the formulas you should remember about derivation:
Considering c a constant real number and a function defined as f(x) = c
f'(x) = 0
Considering c a constant real number and a function defined as cf(x)
cf'(x) = c(dy/dx)
Considering two constants c and d and considering two function cf(x) and dg(x). The derivative of
(cf(x) + dg(x))' = cf'(x) + dg'(x)
Considering c a constant real number and a function defined as f(x) = cx
f'(x) = c
Considering a function in the form f(x) = ax + b
f'(x) = a.
Considering a function in the form f(x) = x^{n}
f'(x) = nx^{n1}
Considering a function in the form f(x) = ax^{2} + bx + c
f'(x) = 2ax + b
Considering u a function, considering that du/dx is its derivative, and considering u elevated to the power of n as in u^{n}
f'(u) = nu^{n1}du/dx
Considering u a function considering that du/dx is the derivative of that function, consider f(u)
f'(u) = (u')du/dx
Considering the product of two functions uv
(uv)' = u'v + uv'


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