Question

lf $y={ce}^{x/(x-a)}$ , then $\frac{dy}{dx}$ equals

• A. a(x-a)
• B. $-\frac{ay}{(x-a{)}^2}$
• C. $a^2(x-a{)}^2$
• D. $0$

Answer 1

Answer: (B)

$-\frac{ay}{(x-a{)}^2}$

$\frac{dy}{dx}=c{e}^{\frac{x}{x-a}}\left(\frac{(x-a)-x}{(x-a{)}^2}\right)$
$=y\left(\frac{-a}{(x-a{)}^2}\right)$