derivative of (17x^3-3x^2+7x-2+(-5x^3+6x^2-3x+9))

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx ((17x³−3x²+7x−2)+(−5x³+6x²−3x+9))

Solution

36x²+6x+4

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ddx ((17x³−3x²+7x−2)+(−5x³+6x²−3x+9))

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

=ddx (17x³)−ddx (3x²)+ddx (7x)−ddx (2)−ddx (5x³)+ddx (6x²)−ddx (3x)+ddx (9)

ddx (17x³)=51x²

ddx (3x²)=6x

ddx (7x)=7

ddx (2)=0

ddx (5x³)=15x²

ddx (6x²)=12x

ddx (3x)=3

ddx (9)=0

=51x²−6x+7−0−15x²+12x−3+0

Simplify

=36x²+6x+4

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

derivative of (17x^3-3x^2+7x-2+(-5x^3+6x^2-3x+9))

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