JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x)=\left|\begin{array}{ccc}\sec \theta & \tan ^2 \theta & 1 \\ \theta \sec x & \tan x & x \\ 1 & \tan x-\tan \theta & 0\end{array}\right|

, then

f^{\prime}(\theta)

View answer and explanation

Correct option: B

-1

Option B (-1) is correct because after differentiating the determinant and substituting x =

\theta

, the expression simplifies to -1.

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\frac{{dy}}{{dx}}

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