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.

More Answers:
Understanding the Derivative Operator d/dx and its Application on the Simple Variable x
Understanding the Power Rule | Derivatives of Functions in the Form f(x) = x^n
How to Find the Derivative of the Product | Derivative of k*f(x) with Respect to x

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »