Calculate the value

In the following problem $a,b,$ b,and c represent REAL NUMBERS. 
The derivative of $g\left(x\right)=log _{a}\left(bx\right)+cx^{2}is$ 
$○$ $g^{1}\left(x\right)=\right)dfrac\left(b\right)log _{-}a\left(bx\right)\right)\left(N1n$ $a\right)+2cx1\right)$ 
$○$ $\left(g\left(x\right)=\right)dtracb$ $loga\left(bx\right)+2c\times \right)Nln$ a}\) 
$○$ $g^{'}\left(x\right)=\left(dfraC\left(a\right)log _{-}a\left(bx\right)\right)\left(ln$ $\right)+2c\times 1\right)\right)$ 
$○$ $g^{1}\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(ln$ $a1\right)$ 
$○$ $\left(\left(g^{1}\left(x\right)=b$ $log _{-}a\left(bx\right)+2cx1\right)$ 
$○$ $g\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(1ln$ $a|+2c1\right)$ 

$1$ $\left(\left(\dfrac {2} {5}\right)$ $\dfrac {3} {8}\right)^{\dfrac {1} {2}}\times \left(\left(\dfrac {2} {5}\right)^{\dfrac {1} {4}}\longdiv{2}=$ 
$\bar{3} $ $\left(\dfrac {2} {5}\longdiv{16}$ 
a. $3$ $\left(\dfrac {2} {5}\longdiv{16}$ C. $1$ $\left(\dfrac {2} {5}\longdiv{9}$ 
$b$ $\left(\dfrac {2} {5}\right)^{\dfrac {1} {4}}$ d. $1$ $\left(\dfrac {2} {5}\right)^{-}$ 

Question $14$ Not yet answered 
Marked out of $1.00$ 
$1+x$ $x=\sqrt{\left(Nfrac\left(2ab\right)\left(a} +b\right)$ $1\right)$ then the value of $\right)$ 
$\left(fr0c\left(x+a\right)\left(x-a\right)+lfrac\left(x+b\right)\left(x-b\right)$ $1\right)$ $1s$ Select $One$ 
a. $a/b$ 
b. $1$ $○$ 
$c2$ $2$ $○$ 
d. $a^{2}+b^{2}$ $○$ 
CLEAR MY CHOICE 

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