pendenza 3x

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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

simplify solve for inverse tangent line

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derivative of x^sin(x)

Solution

x^sin(x)(cos(x)ln(x)+sin(x)x )

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Solution steps

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ddx (x^sin(x))

Apply exponent rule: a^b=e^bln(a)

x^sin(x)=e^sin(x)ln(x)

=ddx (e^sin(x)ln(x))

Apply the chain rule: e^sin(x)ln(x)ddx (sin(x)ln(x))

=e^sin(x)ln(x)ddx (sin(x)ln(x))

ddx (sin(x)ln(x))=cos(x)ln(x)+sin(x)x

=e^sin(x)ln(x)(cos(x)ln(x)+sin(x)x )

e^sin(x)ln(x)=x^sin(x)

=x^sin(x)(cos(x)ln(x)+sin(x)x )

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

pendenza 3x

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