Differentiating this problem (2t^(3/2))/(ln(2t^(3/2)+1))



Answered question


Differentiating this problem 2 t 3 / 2 ln ( 2 t 3 / 2 + 1 )
How does one differentiate the function
y ( t ) = 2 t 3 / 2 ln ( 2 t 3 / 2 + 1 ) .
How do I start/process solving this? Do i take the ln of both side? If so I get the log of the top - the log of the bottom. which is the log of a log? If I do the quotient rule right away, i get the log expression in the bottom squared. Help please?

Answer & Explanation



Beginner2022-09-08Added 11 answers

Getting the square of the logarithm in the denominator is a fact. You have tools for differentiating, so apply them
which you can simplify if you want by distributing out the 3 t 1 / 2 , but that is in the eye of the beholder.


Beginner2022-09-09Added 3 answers

In this case the quotient rule is probably the best option. The symmetry of the 2 t 2 / 3 in the top and bottom makes me suspect that some things might end up canceling out.

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