Question

Find the differential $dy$, if $y=\sqrt{1-x},x=0,dx=0.02$

• A. $0.01$
• B. $-0.01$
• C. $0.1$
• D. $-0.1$

Answer 1

The correct option is B $-0.01$

given,

$y=\sqrt{1-x},x=0,dx=0.02$

$dy=\frac{-1}{2\sqrt{1-x}}dx$

$dy=\frac{-1}{2\sqrt{1-0}}\left(0.02\right)$

$dy=-0.01$