A) \[\frac{9\cos (\log x)}{x{{(3-2x)}^{2}}}\]
B) \[\frac{9\cos \left( \log \frac{2x+3}{3-2x} \right)}{x{{(3-2x)}^{2}}}\]
C) \[\frac{9\sin \left( \log \frac{2x+3}{3-2{{x}^{2}}} \right)}{{{(3-2x)}^{2}}}\]
D) None of the above
Correct Answer: D
Solution :
\[y=f(t),\]where \[t=\frac{2x+3}{3-2x}\] \[\Rightarrow \] \[\frac{dy}{dx}=f(t)\times \frac{dt}{dx}\] \[=\sin \left( \log \frac{2x+3}{3-2x} \right)\times \frac{12}{{{(3-2x)}^{2}}}\]You need to login to perform this action.
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