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

Solutions > Polynomial Standard Form Calculator >

(\partial)/(\partial x)(a(x-1)^{15}y+sqrt(11y-18))

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

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

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Steps Examples

Generated by AI

∂ ∂ x (a(x−1)¹⁵y+√11y−18)

Solution

15ay(x−1)¹⁴

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Solution steps

One step at a time

∂ ∂ x (a(x−1)¹⁵y+√11y−18)

Treat a, y as a constant

Apply the Sum/Difference Rule: (f±g)′=f ′±g′

=∂ ∂ x (a(x−1)¹⁵y)+∂ ∂ x (√11y−18)

∂ ∂ x (a(x−1)¹⁵y)=15ay(x−1)¹⁴

∂ ∂ x (√11y−18)=0

=15ay(x−1)¹⁴+0

Simplify

=15ay(x−1)¹⁴

Polynomial Standard Form Examples

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