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}\) 
$○$ $g^{'}\left(x\right)=\left(dfraC\left(a\right)log _{-}a\left(bx\right)\right)\left(ln$ $\right)+2c\times 1\right)\right)$ 
$○$ $g^{1}\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(ln$ $a1\right)$ 
$○$ $\left(\left(g^{1}\left(x\right)=b$ $log _{-}a\left(bx\right)+2cx1\right)$ 
$○$ $g\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(1ln$ $a|+2c1\right)$ 

$\left(1V\right)$ $13$ 
आप जानते हैं कि $\dfrac {1} {7}$ 
1. $\dfrac {2} {7},\dfrac {3} {7},\dfrac {4} {7},\dfrac {5} {7},\dfrac {6} {7}$ के $\vec{5} $ 
$\left($ संकेत $:\dfrac {1} {7}$ का मा 

$1$ Name: PIXT 
Strand/section: 
$1$ $\dfrac {1} {7}$ 
$6$ $\dfrac {1} {7}$ 
$11$ $\dfrac {3} {7}$ 
$16$ $\dfrac {1} {7}$ 
$21$ $\dfrac {1} {7}$ 


$1.$ X $P\left(\times \right)$ $X$ $P\left(X\right)$ 
$\bar{7} $ 
$6$ $\dfrac {1} {7}$ 
$1l$ $\dfrac {3} {7}$ 
16 $\dfrac {1} {7}$ 
$21$ $\dfrac {1} {7}$ 
$8$ 

$\left(int|imits$ $-0a1\left(1-\times n_{2}{\right)_{3}}^{n}$ 
$x^{A}3dx=7\right)$ 
$\left($ $frac\left(1\right)\left(40\right)\right)$ 
$\left($ $\left(troc\left(1\right)\left(35\right)\right)$ 
$\left(troc\left(1\right)\left(30\right)\right)$ 
$\left(tr0c\left(1\right)\left(25\right)\right)$ 

$11.$ Question $11$ 
Solve the $:$ $folloMlng'$ $0<θ<90^{°}$ 
$\left(1\right)$ $2sin^{2}θ=1\right)$ $\left(rac\left(3\right)\left(2\right)\right)$ 
$\left(11\right)$ $3tan^{2}θ+2=3$ 
$\left(111\right)cos^{2}θ$ $11rac\left(1\right)\left(4\right)\right)=$ 
$c\left(1\right)\left(4\right)\right)=11113c\left(1\right)\left(2\right)\right)$ 

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