Find \displaystyle \frac{d}{dx}\biggl( \frac{FUNCN.fText}{FUNCD.fText} \biggr)
.
ANSWER( N_DF, D_F, D_DF, N_F, D_F, "-" )
ANSWER( N_DF, D_DF, D_F, N_F, D_F, "-" )
ANSWER( N_DF, D_F, D_DF, N_F, N_F, "-" )
ANSWER( N_DF, D_DF, D_F, N_F, N_F, "-" )
ANSWER( N_DF, D_F, D_DF, N_F, D_F, "+" )
ANSWER( N_DF, D_DF, D_F, N_F, D_F, "+" )
ANSWER( N_DF, D_F, D_DF, N_F, N_F, "+" )
ANSWER( N_DF, D_DF, D_F, N_F, N_F, "+" )
Using the chain rule and the product rule, we know \displaystyle \frac{d}{dx\strut}\frac{f(x)}{g(x)} = \frac{f'(x)g(x) - g'(x)f(x)}{g(x){}^2}
.
In this case,
\qquad f(x) = FUNCN.fText
,
\qquad g(x) = FUNCD.fText
.
Differentiate each function:
\qquad f'(x) = FUNCN.ddxFText
,
\qquad g'(x) = FUNCD.ddxFText
.
Thus, the answer is
\qquad \dfrac{{(FUNCN.ddxFText)(FUNCD.fText) - (FUNCD.ddxFText)(FUNCN.fText)}}{(FUNCD.fText)^2}
.