HSC Together Year 11 Maths Advanced: Differentiating the Sum or Difference of Two Functions

Maths Advanced

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Differentiating the Sum or Difference of Two Functions

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.

Part 1

 

Part 2

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