JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

F(x)=\left|\begin{array}{ccc}x & x^2 & x^3 \\ 1 & 2 x & 3 x^2 \\ 0 & 2 & 6 x\end{array}\right|

then

F^{\prime}(x)

is equal to

View answer and explanation

Correct option: D

6 x^2

Option D (

6 x^2

) is correct because it is the derivative of the determinant function F(x), calculated by differentiating each row separately.

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