derivative of e^x

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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

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Steps Examples

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sequence type a₁=3, a₂=2, a_n=−a_n−1

Solution

geometric sequence: r=−1, a_n=3(−1)ⁿ⁻¹

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Solution steps

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a₁=3, a₂=2, a_n=−a_n−1

Geometric Progression (Geometric Sequence)

A geometric sequence has a constant ratio r and is defined by a_n=a₁·rⁿ⁻¹

Find the common ratio: r=−1

geometric sequence

r=−1

Find the n-th term: a_n=3(−1)ⁿ⁻¹

geometric sequence: r=−1, a_n=3(−1)ⁿ⁻¹

Solve instead

first term a₁=3, a₂=2, a_n=−a_n−1

nth term a₁=3, a₂=2, a_n=−a_n−1

next term a₁=3, a₂=2, a_n=−a_n−1

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

derivative of e^x

Solution

Solution steps

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