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derivative of with respect to y,sin(x^2y^2)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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∂ ∂ y (sin(x²y²))

Solution

cos(x²y²)· 2x²y

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∂ ∂ y (sin(x²y²))

Treat x as a constant

Apply the chain rule: cos(x²y²)∂ ∂ y (x²y²)

=cos(x²y²)∂ ∂ y (x²y²)

∂ ∂ y (x²y²)=2x²y

=cos(x²y²)· 2x²y

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

derivative of with respect to y,sin(x^2y^2)

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