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If ( sin x) (cos y) = 1//2, then d^(2)y/...

If ( sin x) (cos y) = `1//2,` then `d^(2)y//dx^(2)` at `(pi//4, pi//4)` is

A

`-4`

B

`-2`

C

`-6`

D

0

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AI Generated Solution

To solve the problem, we need to find the second derivative \( \frac{d^2y}{dx^2} \) at the point \( \left( \frac{\pi}{4}, \frac{\pi}{4} \right) \) given the equation: \[ \sin x \cos y = \frac{1}{2} \] ### Step 1: Differentiate the equation with respect to \( x \) ...
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