limit as x approaches infinity of arctan(e^x)

Topic

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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

lhopital squeeze chain factoring sandwich

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implicit derivative dydx , x⁴−y¹¹=11xy

Solution

dydx =−11y−4x³11(y¹⁰+x)

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Solution steps

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x⁴−y¹¹=11xy

Treat y as y(x)

Differentiate both sides: 4x³−11y¹⁰dydx =11(y+xdydx )

Isolate dydx : dydx =−11y−4x³11(y¹⁰+x)

dydx =−11y−4x³11(y¹⁰+x)

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