sum of two functions

[ffuh205]

Sums; the derivative of a sum of two functions equals the derivative of each function added together.

A. Always false, 100% of the time.

B. Always True, 100% of the time

C. Sometimes true sometime false. It depends on the functions.

I know it is not B and am leaning towards C.

 

[BigGlenntheHeavy]

\(\displaystyle B \ is \ the \ correct \ answer \ ffuh205.\)

\(\displaystyle In \ the \ future \ ffuh205, \ before \ you \ mouth \ off, \ (I \ know \ it \ is \ not \ B and \ am \ leaning \ towards\)

\(\displaystyle \ C) \ I \ suggest \ that \ \ you \ extricate \ your \ cranium \ from \ your \ rectum.\)

\(\displaystyle \frac{d}{dx}[f(x)+g(x)] \ = \ f'(x)+g'(x)\)

 

[daon]

Assuming the functions are differentiable, then yes. One can always write a differentiable function as the sum of 2 non-differentiable functions however.

 

[ffuh205]

WoW. Very polite! B is incorrect. I am working on corrections. I initially thought B was the correct answer but was marked incorrect. Based on your response, C is apparantly the correct answer. I suppose the trick is, functions are not always differentiable.