Creating a healthy work environment

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Homework Statement
I'm not sure if my latex is correct, but the image is provided with my work, please let me know if it's right!
Relevant Equations
n/a
Handwritten derivation of f(x) = (sin x - cos x)/(sin x + cos x), dividing by cos x to get (tan x - 1)/(tan x + 1), rewriting as tan(x - pi/4), then differentiating to sec^2(x - pi/4) and simplifying to 2/(1 + sin 2x).
 
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ttpp1124 said:
Homework Statement:: I'm not sure if my latex is correct, but the image is provided with my work, please let me know if it's right!
Relevant Equations:: n/a

View attachment 262669
It is correct, but the solution is also simple if you differentiate the original function.
By the way, start and finish your latex formula with double $:

$$f(x)=\frac{sin(x)-cos(x)}{sin(x)+cos(x)} $$
$$
f(x)=\frac{sin(x)-cos(x)}{sin(x)+cos(x)} $$
 
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