JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f(x)=\frac{\sin x+\cos x -\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}

. Then

f\left(\frac{7 \pi}{12}\right) f^{\prime \prime}\left(\frac{7 \pi}{12}\right)

is equal to

View answer and explanation

Correct option: A

\frac{2}{9}

Option A (2/9) is correct because it is the result of correctly simplifying the function and calculating the required values and their product.

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