derivative of xe^{-x}

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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

implicit derivative tangent volume laplace fourier

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Steps Examples

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inverse 5^x+3

Solution

ln(x−3)ln(5)

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Solution steps

One step at a time

(

1	0	0
0	1	0
0	0	1

)

Matrix eigenvalues

Let A be a square matrix, η a vector and λ a scalar that satisfy Aη=λη,
then λ is called the eigenvalue associated with the eigenvector η of A

The eigenvalues of A are the roots of the characteristic equation det(A−λ I)=0

det((

1	0	0
0	1	0
0	0	1

)−λ(

1	0	0
0	1	0
0	0	1

)): (−λ+1)³

Solve (−λ+1)³=0: λ=1 with multiplicity of 3

The eigenvalues are:

λ=1 with multiplicity of 3

Solve instead

domain 5^x+3

range 5^x+3

intercepts 5^x+3

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