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(\partial)/(\partial x)(sqrt(x^3-y^4))

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

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∂ ∂ x (√x³−y⁴)

Solution

3x²2√x³−y⁴

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Solution steps

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∂ ∂ x (√x³−y⁴)

Treat y as a constant

Apply the chain rule: 12√x³−y⁴ ∂ ∂ x (x³−y⁴)

=12√x³−y⁴ ∂ ∂ x (x³−y⁴)

∂ ∂ x (x³−y⁴)=3x²

=12√x³−y⁴ · 3x²

Simplify 12√x³−y⁴ · 3x²: 3x²2√x³−y⁴

=3x²2√x³−y⁴

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

(\partial)/(\partial x)(sqrt(x^3-y^4))

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