implicit derivative of (dy)/(dx),x^6-y^9=10xy

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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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ddx ((9x⁴+8x)−(−2x⁴−4x+5))

Solution

44x³+12

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Solution steps

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ddx ((9x⁴+8x)−(−2x⁴−4x+5))

Simplify (9x⁴+8x)−(−2x⁴−4x+5): 11x⁴+12x−5

=ddx (11x⁴+12x−5)

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

=ddx (11x⁴)+ddx (12x)−ddx (5)

ddx (11x⁴)=44x³

ddx (12x)=12

ddx (5)=0

=44x³+12−0

Simplify

=44x³+12

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