(\partial)/(\partial y)(x/y-y/z)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

implicit derivative tangent volume laplace fourier

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Steps Examples

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∂ ∂ y (xy −yz )

Solution

−xy² −1z

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Solution steps

One step at a time

∂ ∂ y (xy −yz )

Treat x, z as constants

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

=∂ ∂ y (xy )−∂ ∂ y (yz )

∂ ∂ y (xy )=−xy²

∂ ∂ y (yz )=1z

=−xy² −1z

Description

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Derivative Examples