Logarithmic differentiation of a product or quotient of powers

1. A.
   $\dfrac{dy}{dx} = y\left(4 + \dfrac{21}{4(x-4)(x+3)}\right)$
2. B.
   $\dfrac{dy}{dx} = 4 + \dfrac{21}{4(x-4)(x+3)}$
3. C.
   $\dfrac{dy}{dx} = \dfrac{1}{y}\left(4 + \dfrac{21}{4(x-4)(x+3)}\right)$
4. D.
   $\dfrac{dy}{dx} = y\left(4 + \dfrac{21}{4(x+4)(x+3)}\right)$

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1. A.
   $\frac{5}{x}+\frac{4}{3x-4}-\frac{4}{3(x+5)}$
2. B.
   $5+\frac{4}{3(3x-4)}-\frac{4}{3(x+5)}$
3. C.
   $\frac{5}{x}+\frac{4}{3x-4}-\frac{4}{(x+5)}$
4. D.
   $\frac{5}{x}+\frac{12}{3x-4}-\frac{4}{(x+5)}$

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