Applying the Sum Rule of Differentiation | Derivative of the Sum of Two Functions.

d/dx f(x) + g(x)

To find the derivative of the sum of two functions f(x) and g(x), we can apply the sum rule of differentiation

To find the derivative of the sum of two functions f(x) and g(x), we can apply the sum rule of differentiation.

The sum rule states that the derivative of the sum of two functions is the sum of their individual derivatives. In other words, if we have h(x) = f(x) + g(x), then the derivative of h(x) with respect to x can be found by taking the derivative of each function separately and adding them together.

So, let’s differentiate f(x) and g(x) separately and then sum up their derivatives:

d/dx [f(x) + g(x)] = d/dx f(x) + d/dx g(x)

Therefore, the derivative of the sum of f(x) and g(x) is equal to the sum of their individual derivatives.

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