derivative of tan^2(x+1)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

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∫

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 (tan²(x)+1)

Solution

2sec²(x)tan(x)

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ddx (tan²(x)+1)

Simplify tan²(x)+1: sec²(x)

=ddx (sec²(x))

Apply the chain rule: 2sec(x)ddx (sec(x))

=2sec(x)ddx (sec(x))

ddx (sec(x))=sec(x)tan(x)

=2sec(x)sec(x)tan(x)

Simplify 2sec(x)sec(x)tan(x): 2sec²(x)tan(x)

=2sec²(x)tan(x)

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

derivative of tan^2(x+1)

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