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MA_775_DIABLO [31]
2 years ago
13

Plz help me to answer

Mathematics
2 answers:
AVprozaik [17]2 years ago
4 0

Answer:

for 3, 4 or both?

4. is probably zero

Step-by-step explanation:

Wait is 4 a question?

Mrac [35]2 years ago
4 0

cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x  -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x  -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)

\implies  \sin(2x+2y) \dfrac{dy}{dx} -  \cos y \sin y \dfrac{dy}{dx} =  \cos x \sin x-\sin(2x+2y)\\\\\implies  \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] =  \cos x \sin x-\sin(2x+2y)\\\\\implies  \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] =  \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) =  \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}

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