Differentiation Question 210
Question: $ \frac{d}{dx}( \frac{e^{x}}{1+x^{2}} )= $
Options:
A) $ \frac{e^{x}(1+x)}{{{(1+x^{2})}^{2}}} $
B) $ \frac{e^{x}{{(1-x)}^{2}}}{{{(1+x^{2})}^{2}}} $
C) $ \frac{e^{x}{{(1+x)}^{2}}}{(1+x^{2})} $
D) $ \frac{e^{x}{{(1-x)}^{2}}}{(1+x^{2})} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{d}{dx}( \frac{e^{x}}{1+x^{2}} )=\frac{(1+x^{2})e^{x}-e^{x}(2x)}{{{(1+x^{2})}^{2}}}=\frac{e^{x}(1-x^{2})}{{{(1+x^{2})}^{2}}} $
BETA
