derivative of 3x^4-2x+8

Topic

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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

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Steps Examples

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ddx (3x⁴−2x+8)

Solution

12x³−2

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Solution steps

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ddx (3x⁴−2x+8)

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

=ddx (3x⁴)−ddx (2x)+ddx (8)

ddx (3x⁴)=12x³

ddx (2x)=2

ddx (8)=0

=12x³−2+0

Simplify

=12x³−2

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