What is the derivative of #y=ln(2)#?

Answer 1
The derivative of #y=ln(2)# is #0#.
Remember that one of the properties of derivatives is that the derivative of a constant is always #0#. If you view the derivative as the slope of a line at any given point, then a function that consists of only a constant would be a horizontal line with no change in slope. That is why the derivative of any constant is #0#, meaning no changes anywhere.
If the natural log function, #ln#, only has a constant inside its parenthesis, then it is itself only a constant number. #ln(2)# is an actual number, with a value of around #0.6931472#. Because of that quality of logarithms, we know that #ln(c)# (with #c# being any constant located in it's domain) will always have a derivative of #0#.
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Answer 2

The derivative of ( y = \ln(2) ) is 0.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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