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

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domain of 9-x^2

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

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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端点 4−x²

Solution

最大値(0, 4)

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Solve by:

一次導関数テストを使用して求める

一次導関数テストを使用して求める

二次導関数テストを使用して求める

One step at a time

一次導関数テストの定義

x=c が f(x) の臨界点と仮定する。
x=c の左側が f ′(x)>0 で x=c の右側が f ′(x)<0 であれば,x=c は極大値。
x=c の左側が f ′(x)<0 で x=c の右側が f ′(x)> 0 であれば,x=c は極小値。
f ′(x) が x=c の両辺で同じ符号であれば,x=c は極大値でも極小値でもない。

f ′(x)=−2x

区間を求める: 増加中:−∞ <x<0, 減少中:0<x<∞

以下に x=0 を挿入する: 4−x²: 4

最大値(0, 4)

Solve instead

領域 4−x²

範囲 4−x²

頂点 4−x²

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