directrix y=(6x)/7*(4x)/3

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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

simplify solve for inverse tangent line

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ddx (2cos³(x))

Solution

−6cos²(x)sin(x)

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Solution steps

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x²+y²=1

Ellipse standard equation

(x−h)²a² +(y−k)²b² =1 is the ellipse standard equation
with center (h, k) and a, b are the semi-major and semi-minor axes

Rewrite x²+y²=1 in the form of the standard ellipse equation

(x−0)²1² +(y−0)²1² =1

Therefore ellipse properties are:

(h, k)=(0, 0), a=1, b=1

b>a therefore b is semi-major axis and a is semi-minor axis

Ellipse with center (h, k)=(0, 0), b=1, a=1

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Notebook

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

directrix y=(6x)/7*(4x)/3

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