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What is the derivative of #y= log (6x-2)#?

Answer 1

Aurora Alvarado

#dy/dx=6/(ln(10)(6x-2))#

Assuming #log(6x-2)=log_{10}(6x-2)#, the Chain Rule and the fact that #d/dx(log_{10}(x))=1/(ln(10)x)# imply that

#dy/dx=6/(ln(10)(6x-2))# when #y=log(6x-2)#.

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Answer 2

Christopher Agresta

The derivative of y = log(6x - 2) with respect to x is:

dy/dx = (6/(6x - 2))

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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.

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