derivative of log_{2}((3x^2/4))

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

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ddx

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

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ddx (log₂(3x²4 ))

Solution

2ln(2)x

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ddx (log₂(3x²4 ))

Simplify log₂(3x²4 ): log₂(3x²)−2

=ddx (log₂(3x²)−2)

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

=ddx (log₂(3x²))−ddx (2)

ddx (log₂(3x²))=2ln(2)x

ddx (2)=0

=2ln(2)x −0

Simplify

=2ln(2)x

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derivative of log_{2}((3x^2/4))

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