Don't follow one small step in proof

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In summary, the conversation is discussing the proof for the derivative of arcsinx and how d/dx siny becomes dy/dx cosy. It is explained that this is due to the application of the chain rule for derivatives.
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andrewkirk said:
It is applying the rule for derivative of a function of a function. This is more apparent if we write it as ##\frac d{dx}\sin(y(x)) ##.
So it's just the chain rule. Can't believe I missed that. Thanks for your help!
 

FAQ: Don't follow one small step in proof

1. What does it mean to "not follow one small step in proof"?

Not following one small step in proof means that in the process of proving something, a key step or piece of evidence is ignored or left out. This can lead to an incomplete or incorrect conclusion.

2. Why is it important to avoid missing a step in proof?

Missing a step in proof can lead to an invalid or flawed conclusion. Just like a puzzle, if one piece is missing, the entire picture may be distorted or incomplete.

3. How can one ensure they are not missing any steps in proof?

To avoid missing steps in proof, it is important to carefully and thoroughly follow a logical and systematic approach. Double-checking and reviewing the evidence and steps taken can also help catch any potential errors or omissions.

4. What are the consequences of not following one small step in proof?

The consequences of not following one small step in proof can vary depending on the situation. In some cases, it may lead to an incorrect conclusion or result. In others, it may create confusion or mistrust in the validity of the proof.

5. Can missing a step in proof be easily fixed?

It depends on the specific situation. If the missing step is caught early on, it may be possible to go back and correct it. However, if the error is not discovered until later on, it may require starting over from the beginning or may even be impossible to fix.

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