Tips for Creating a Healthy Work Environment

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Creating a healthy work environment involves ensuring clarity in communication and collaboration among team members. Proper formatting and presentation of work, such as using LaTeX correctly, can enhance understanding and professionalism. Differentiating functions can simplify complex problems, making solutions more accessible. It's essential to maintain a supportive atmosphere where feedback is constructive and encourages improvement. Overall, fostering a culture of clear communication and collaboration contributes significantly to workplace health.
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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
IMG_4235.jpg
 
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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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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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