Mathematics, 15.01.2020 05:31 tjmoney7709
Differentiating a logarithmic function in exercise, find the derivative of the function. see examples 1, 2, 3, and 4.
y = ln{[(6 - x)^3/2]/x^2/3}
Answers: 3
![\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]](/tpl/images/0455/6312/8701a.png)
= ln(A) - ln(B)
![\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]](/tpl/images/0455/6312/7d56c.png)
![\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]](/tpl/images/0455/6312/a14e6.png)
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Differentiating a logarithmic function in exercise, find the derivative of the function. see example...
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