implicit derivative of (dy)/(dx),(4x+4y)^3=64x^3+64y^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

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axis y=4x²

Solution

x=0

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y=4x²

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=4x² in the standard form: 4· 116 (y−0)=(x−0)²

Therefore parabola properties are:

(h, k)=(0, 0), p=116

Parabola is of the form 4p(y−k)=(x−h)² and is symmetric around the y-axis
Axis of symmetry is a line parallel to the y-axis which intersects the vertex:

x=0

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