derivada implícita (dy)/(dx), (x-y)^2=x+y-1

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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

implicit derivative tangent volume laplace fourier

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foci y=−(x+3)²20 +1

Solution

(−3, −4)

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Parabola Focus

A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (the directrix)

Parabola standard equation

4p(y−k)=(x−h)² is the standard equation for an up-down facing parabola with vertex at (h, k),
and a focal length |p|

Rewrite y=−(x+3)²20 +1 in the standard form: 4(−5)(y−1)=(x−(−3))²

(h, k)=(−3, 1), p=−5

Parabola is symmetric around the y-axis and so the focus lies a distance p from the center (−3, 1) along the y-axis

(−3, 1+p)

=(−3, 1+(−5))

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(−3, −4)

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