Differentiation Question 426
Question: $ \frac{d}{dx}[\cos {{(1-x^{2})}^{2}}] $ =
[AISSE 1981; AI CBSE 1979]
Options:
A) $ -2x(1-x^{2})\sin {{(1-x^{2})}^{2}} $
B) $ -4x(1-x^{2})\sin {{(1-x^{2})}^{2}} $
C) $ 4x(1-x^{2})\sin {{(1-x^{2})}^{2}} $
D) $ -2(1-x^{2})\sin {{(1-x^{2})}^{2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{d}{dx}[\cos {{(1-x^{2})}^{2}}]=-\sin {{(1-x^{2})}^{2}}\frac{d}{dx}{{(1-x^{2})}^{2}} $
$ =4x(1-x^{2})\sin {{(1-x^{2})}^{2}} $ .
BETA
