Question

How do you find the derivative of `y = f(x) - g(x)`?

Answer 1

The derivative for `y=f(x)-g(x)` works the same way as the derivative of `y=f(x)+g(x)`.

`y=f(x)-g(x) => dy/dx=f'(x)-g'(x)`

The quick proof is:
`y=f(x)-g(x)=f(x)+(-1)g(x)`
Using the sum rule and the constant rule:
`dy/dx=f'(x)+(-1)g'(x)=f'(x)-g'(x)`.