Differentiation Question 406
Question: If $ y=b\cos \log {{( \frac{x}{n} )}^{n}} $ , then $ \frac{dy}{dx}= $
Options:
A) $ -nb\sin \log {{( \frac{x}{n} )}^{n}} $
B) $ nb\sin \log {{( \frac{x}{n} )}^{n}} $
C) $ -nb\sin \log {{( \frac{x}{n} )}^{n}} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}=-b\sin \log {{( \frac{x}{n} )}^{n}}\frac{1}{{{(x/n)}^{n}}}\frac{n}{n}{{( \frac{x}{n} )}^{n-1}}=-\frac{nb}{x}\sin \log {{( \frac{x}{n} )}^{n}} $ .
BETA
