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derivative of sin(3x+4)

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

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vertices y=−2x²−2x−2

Solution

عظمى (−12 , −32 )

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Find vertex using polynomial form

Find vertex using parabola form

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y=−2x²−2x−2

Parabola equation in polynomial form

The vertex of an up-down facing parabola of the form y=ax²+bx+c is x_v=−b2a

The parabola parameters are:

a=−2, b=−2, c=−2

x_v=−b2a

x_v=−(−2)2(−2)

−−22(−2) بسّط: −12

x_v=−12

Plug in x_v=−12 to find the y_v value

y_v=−32

لذلك رأس القطع المكافئ هو

(−12 , −32 )

إذًا الرأس هو نقطة عظمى a<0 إذا تحقّق أنّ
إذًا الرأس هو نقطة صغرى a>0 إذا تحقّق أنّ
a=−2

عظمى (−12 , −32 )

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أهلاً, اطرح سؤالا حول sequence type a_n=3n+2 أو اختر من الخيارات أدناه

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

derivative of sin(3x+4)

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