range of 2sec(x)

Topic

Full pad

`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

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

e^{(1 2
0 −1
)}

Solution

(

`e`	`e`²−1`e`
0	1`e`

)

Show Steps

Hide Steps

Solution steps

One step at a time

e^{(1 2
0 −1
)}

Diagonalize (

1	2
0	−1

): (

1	−1
0	1

)(

1	0
0	−1

)(

1	1
0	1

)

For diagonalizable matrix A=PDP⁻¹ the matrix exponential is e^A=Pe^DP⁻¹

1	−1
0	1

)e^{(1 0
0 −1
)}(

1	1
0	1

)

e^{(1 0
0 −1
)}=(

`e`	0
0	1`e`

)

1	−1
0	1

)(

`e`	0
0	1`e`

)(

1	1
0	1

)

(

1	−1
0	1

)(

`e`	0
0	1`e`

)(

1	1
0	1

)=(

`e`	`e`²−1`e`
0	1`e`

)

`e`	`e`²−1`e`
0	1`e`

)

Description

The Derivative Calculator is an invaluable online tool designed to compute derivatives efficiently, aiding students, educators, and professionals alike. Here's how to utilize its capabilities:

Begin by entering your mathematical function into the above input field, or scanning it with your camera.
Click the 'Go' button to instantly generate the derivative of the input function.
The calculator provides detailed step-by-step solutions, facilitating a deeper understanding of the derivative process.

Derivative Examples