en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^3)/(dx^3)(xe^x)

Solution

\frac{d ^{3}}{d x ^{3}} (x e^{x})

Solution

e^{x} x + 3 e^{x}

Solution steps

\frac{d ^{3}}{d x ^{3}} (x e^{x})

\frac{d}{d x} (x e^{x}) = e^{x} + e^{x} x

= \frac{d ^{2}}{d x ^{2}} (e^{x} + e^{x} x)

\frac{d}{d x} (e^{x} + e^{x} x) = e^{x} x + 2 e^{x}

= \frac{d}{d x} (e^{x} x + 2 e^{x})

\frac{d}{d x} (e^{x} x + 2 e^{x}) = e^{x} x + 3 e^{x}

= e^{x} x + 3 e^{x}

Popular Examples

integral of x(3x+8)^5

\int x (3 x + 8)^{5} d x

integral of 4tan(x)sec^5(x)

\int 4 tan (x) sec^{5} (x) d x

derivative of-5x^4+4x^3-20x-20

\frac{d}{d x} (- 5 x^{4} + 4 x^{3} - 20 x - 20)

sum from n=1 to infinity of cos((10)/n)

n = 1 \sum \infty cos (\frac{10}{n})

tangent of y=x^2-6x,(5,-5)tangent of

y = x^{2} - 6 x, (5, - 5)

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(xe^x) ?
The answer to (d^3)/(dx^3)(xe^x) is e^xx+3e^x