What is the derivative of #log_2(3x-1)#?
You might already know that:
In order to use this, we have to apply the change of base rule:
Therefore:
Now we can differentiate the expression:
Next, we can use the chain rule:
- Take the derivative of the outer function..
- ...plug in the inner function.
- Multiply by the derivative of the inner function.
So:
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The derivative of ( \log_2(3x-1) ) is ( \frac{3}{(3x-1) \ln(2)} ).
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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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