Mathematics, 23.11.2019 01:31 maysahdabest

Find the 200th derivative of f(x) = xe−x.

Answers: 2

Show answers

Answers

Answer from: PlzHelpMeOutKam2693

$\frac{d^{200}}{dx^{200}}(xe^{-x})=e^{-x}(x-200)$

Step-by-step explanation:

The given function is

$f(x)=xe^{-x}$

Differential with respect to x.

$f'(x)=\frac{d}{dx}(xe^{-x})$

$f'(x)=x\frac{d}{dx}e^{-x}+e^{-x}\frac{d}{dx}x$

$f'(x)=x(-e^{-x})+e^{-x}(1)$

$f'(x)=-xe^{-x}+e^{-x}$

$f'(x)=-e^{-x}(x-1)$

Differential with respect to x.

$f''(x)=e^{-x}x-2e^{-x}$

$f''(x)=e^{-x}(x-2)$

Differential with respect to x.

$f'''(x)=-e^{-x}(x-3)$

Similarly, the nth derivative is

$\frac{d^{n}}{dx^{n}}(xe^{-x})=(-1)^ne^{-x}(x-n)$

The 200th derivative of f(x) is

$\frac{d^{200}}{dx^{200}}(xe^{-x})=e^{-x}(x-200)$

Answer from: Quest

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Another question on Mathematics

Mathematics, 21.06.2019 16:10

To describe a sequence of transformations that maps triangle abc onto triangle a"b"c", a student starts with a reflection over the x-axis.how should the student complete the sequence of transformations to map triangle abc onto triangle a"b"c"? plz

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Fa bus driver leaves her first stop by 7: 00 a.m., her route will take less than 37 minutes. if she leaves after 7: 00 a.m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

Answers: 3

Answer

Mathematics, 21.06.2019 21:20

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²

Answers: 2

Answer

You know the right answer?

Find the 200th derivative of f(x) = xe−x....