f'(x) + g'(x)
derivative of the summation of two functions
Assuming that f(x) and g(x) are differentiable functions, the sum of their derivatives f'(x) and g'(x) is simply the derivative of the sum of the functions, which can be written as:
(f + g)'(x) = f'(x) + g'(x)
In other words, the derivative of the sum of two functions is the sum of their derivatives. This property is known as the linearity of differentiation and is a consequence of the fact that differentiation is a linear operator.
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