A) \[-n\,\,b\sin \log {{\left( \frac{x}{n} \right)}^{n}}\]
B) \[n\,\,b\sin \log {{\left( \frac{x}{n} \right)}^{n}}\]
C) \[-n\,b\sin \log {{\left( \frac{x}{n} \right)}^{n}}\]
D) None of these
Correct Answer: C
Solution :
\[\frac{dy}{dx}=-b\sin \log {{\left( \frac{x}{n} \right)}^{n}}\frac{1}{{{(x/n)}^{n}}}\frac{n}{n}{{\left( \frac{x}{n} \right)}^{n-1}}=-\frac{nb}{x}\sin \log {{\left( \frac{x}{n} \right)}^{n}}\].
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