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Matrix Exponential Calculator

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

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Steps Examples

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ddx (sin²(x))

Solution

sin(2x)

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Solve by:

Find vertex using polynomial form

Find vertex using parabola form

Find vertex using vertex form

Find vertex using averaging the zeros

One step at a time

y=5x²−2x

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=5, b=−2, c=0

x_v=−b2a

x_v=−(−2)2· 5

−−22· 5 بسّط: 15

x_v=15

Plug in x_v=15 to find the y_v value

y_v=−15

لذلك رأس القطع المكافئ هو

(15 , −15 )

إذًا الرأس هو نقطة عظمى a<0 إذا تحقّق أنّ
إذًا الرأس هو نقطة صغرى a>0 إذا تحقّق أنّ
a=5

صغرى (15 , −15 )

Matrix Exponential Examples

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أهلاً, اطرح سؤالا حول ddx (sin²(x)) أو اختر من الخيارات أدناه

حل بواسطة: Find vertex using parabola form

حل بواسطة: Find vertex using vertex form

حل بواسطة: Find vertex using averaging the zeros

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Notebook

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

Matrix Exponential Calculator

Solution

Solution steps

Number Line

Graph

8	−7
1	0

8	−7
1	0

1	2
0	−1