Let f(x)=(sin x+ cos x-√(2))/(sin x- cos x), x [0, π]-\(π)/4. Then f((7 π)/12) f^()((7 π)/12) is equal to

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q3674

JEE Main 20238 Apr, Morning shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

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

JEE Main 2023 · 8 Apr, Morning shift · Q3674

JEE Main 20238 Apr, Morning shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

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