derivative of (x^2+2x-1*(2x^2-3x+6))

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

☐²

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ddx

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taylor x¹⁴

Solution

1+14 (x−1)−332 (x−1)²+7128 (x−1)³−772048 (x−1)⁴+…

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Taylor Series

Taylor series of function f(x) at a is defined as:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Apply the Taylor Formula

=1+ddx (x¹⁴)(1)1! (x−1)+d²dx² (x¹⁴)(1)2! (x−1)²+d³dx³ (x¹⁴)(1)3! (x−1)³+…

Evaluate Derivatives

=1+14 1! (x−1)+−316 2! (x−1)²+2164 3! (x−1)³+−231256 4! (x−1)⁴+…

Refine

=1+14 (x−1)−332 (x−1)²+7128 (x−1)³−772048 (x−1)⁴+…

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Notebook

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

derivative of (x^2+2x-1*(2x^2-3x+6))

Solution

Solution steps

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