How do I differentiate the sum or difference between two functions?
In this post, we learn to differentiate a constant multiple of a function and the sum or difference of two functions, as a part of the Prelim Maths Advanced course under the topic Calculus and sub-part Calculating with Derivatives. In order to differentiate the sum or difference between two functions we treat it normally, and differentiate each variable, as seen in:
- f(x) = g(x) + h(x)
- f'(x) = g'(x) + h'(x)
The following two videos cover the methodical process to go about differentiating sums and differences of functions and clearly explained examples.