If \[{{\Delta }_{1}}=\left| \begin{matrix} x & b & b \\ a & x & b \\ a & a & x \\ \end{matrix} \right|\] and \[{{\Delta }_{2}}=\left| \begin{matrix} x & b \\ a & x \\ \end{matrix} \right|\]are the given determinants, then

\[\frac{d}{dx}({{\Delta }_{1}})=3{{({{\Delta }_{2}})}^{2}}\]

\[{{\Delta }_{1}}=3{{({{\Delta }_{2}})}^{2}}\]

\[\frac{d}{dx}({{\Delta }_{1}})=3({{\Delta }_{2}})\]

\[{{\Delta }_{1}}=3{{\Delta }_{2}}^{3/2}\]

If \[{{\Delta }_{1}}=\left| \begin{matrix} x & b & b \\ a

1.	If \[{{\Delta }_{1}}=\left\| \begin{matrix} x & b & b \\ a & x & b \\ a & a & x \\ \end{matrix} \right\|\] and \[{{\Delta }_{2}}=\left\| \begin{matrix} x & b \\ a & x \\ \end{matrix} \right\|\]are the given determinants, then
A.	\[{{\Delta }_{1}}=3{{({{\Delta }_{2}})}^{2}}\]
B.	\[\frac{d}{dx}({{\Delta }_{1}})=3({{\Delta }_{2}})\]
C.	\[\frac{d}{dx}({{\Delta }_{1}})=3{{({{\Delta }_{2}})}^{2}}\]
D.	\[{{\Delta }_{1}}=3{{\Delta }_{2}}^{3/2}\]
Answer» C. \[\frac{d}{dx}({{\Delta }_{1}})=3{{({{\Delta }_{2}})}^{2}}\]

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If \[{{\Delta }_{1}}=\left| \begin{matrix} x & b & b \\ a & x & b \\ a & a & x \\ \end{matrix} \right|\] and \[{{\Delta }_{2}}=\left| \begin{matrix} x & b \\ a & x \\ \end{matrix} \right|\]are the given determinants, then

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