Calculus Calculator

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

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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eigenvalues (

1	0	0
2	4	0
1	7	8

)

Solution

λ=1, λ=4, λ=8

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(

1	0	0
2	4	0
1	7	8

)

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
2	4	0
1	7	8

)−λ(

1	0	0
0	1	0
0	0	1

)): (−λ+1)(−λ+4)(−λ+8)

Solve (−λ+1)(−λ+4)(−λ+8)=0: λ=1, λ=4, λ=8

The eigenvalues are:

λ=1, λ=4, λ=8

Description

The Calculus Calculator is a powerful online tool designed to assist users in solving various calculus problems efficiently. Here's how to make the most of its capabilities:

Begin by entering your mathematical expression into the above input field, or scanning it with your camera.
Choose the specific calculus operation you want to perform, such as differentiation, integration, or finding limits.
Once you've entered the function and selected the operation, click the 'Go' button to generate the result.
The calculator will instantly provide the solution to your calculus problem, saving you time and effort.

Calculus Examples