(\partial)/(\partial x)(sqrt(x^9-y^{15)})

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

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log_□

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

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∂ ∂ x (√x⁹−y¹⁵)

Solution

9x⁸2√x⁹−y¹⁵

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Solution steps

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∂ ∂ x (√x⁹−y¹⁵)

Treat y as a constant

Apply the chain rule: 12√x⁹−y¹⁵ ∂ ∂ x (x⁹−y¹⁵)

=12√x⁹−y¹⁵ ∂ ∂ x (x⁹−y¹⁵)

∂ ∂ x (x⁹−y¹⁵)=9x⁸

=12√x⁹−y¹⁵ · 9x⁸

Simplify 12√x⁹−y¹⁵ · 9x⁸: 9x⁸2√x⁹−y¹⁵

=9x⁸2√x⁹−y¹⁵

Description

The Derivative Calculator is an invaluable online tool designed to compute derivatives efficiently, aiding students, educators, and professionals alike. Here's how to utilize its capabilities:

Begin by entering your mathematical function into the above input field, or scanning it with your camera.
Click the 'Go' button to instantly generate the derivative of the input function.
The calculator provides detailed step-by-step solutions, facilitating a deeper understanding of the derivative process.

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

(\partial)/(\partial x)(sqrt(x^9-y^{15)})

Solution

Solution steps

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