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(\partial)/(\partial x)(sqrt(x^{11)-y^{20}})

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∂ ∂ x (√x¹¹−y²⁰)

Solution

11x¹⁰2√x¹¹−y²⁰

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Solution steps

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∂ ∂ x (√x¹¹−y²⁰)

Treat y as a constant

Apply the chain rule: 12√x¹¹−y²⁰ ∂ ∂ x (x¹¹−y²⁰)

=12√x¹¹−y²⁰ ∂ ∂ x (x¹¹−y²⁰)

∂ ∂ x (x¹¹−y²⁰)=11x¹⁰

=12√x¹¹−y²⁰ · 11x¹⁰

Simplify 12√x¹¹−y²⁰ · 11x¹⁰: 11x¹⁰2√x¹¹−y²⁰

=11x¹⁰2√x¹¹−y²⁰

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

(\partial)/(\partial x)(sqrt(x^{11)-y^{20}})

Solution

Solution steps

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