Question

If $\Delta_1=\begin{vmatrix} x&b&b \\\a&x&b\\\a&a&x\end{vmatrix}$ and $\Delta_2=\begin{vmatrix} x&b \\\a&x\end{vmatrix}$, then $\frac{d}{dx}(\Delta_1)$ is equal to

• A. $3(\Delta_2)^2$
• B. $3(\Delta_2)^{\frac{1}{2}}$
• C. $3\Delta_2$
• D. $3\Delta_2^2$

Answer 1

Answer: (C)

$3\Delta_2$

Answer 2

The correct option is (C): $3\Delta_2$