- #1

Lambda96

- 189

- 65

- Homework Statement
- Use the chain rule to show the followin is true ##D(f+g)=D(f)+D(g)##

- Relevant Equations
- Multivariable Chain rule

Hi,

Im completly lost regarding the following exercise:

Unfortunately, I don't understand how to prove the statement using the chain rule. The chain rule is always used if there is a composition, i.e. ##f\circ g=f(g(x))## then I first have to calculate ##g(x)## and insert this result into ##f##, but D(f+g) is a operation and not a composition.

Im completly lost regarding the following exercise:

Unfortunately, I don't understand how to prove the statement using the chain rule. The chain rule is always used if there is a composition, i.e. ##f\circ g=f(g(x))## then I first have to calculate ##g(x)## and insert this result into ##f##, but D(f+g) is a operation and not a composition.