en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(d^2)/(dz^2)(z^2e^z)

Solution

\frac{d ^{2}}{d z ^{2}} (z^{2} e^{z})

Solution

e^{z} z^{2} + 4 e^{z} z + 2 e^{z}

Solution steps

\frac{d ^{2}}{d z ^{2}} (z^{2} e^{z})

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

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

\frac{d}{d z} (2 z e^{z} + e^{z} z^{2}) = e^{z} z^{2} + 4 e^{z} z + 2 e^{z}

= e^{z} z^{2} + 4 e^{z} z + 2 e^{z}

Popular Examples

integral of (sqrt(x^2+1))

(d^2)/(dx^2)(6x^2+5x)

(t+1)dt-1/(y^2)dy=0

integral of (2w-5)/(w^2-3w+9/2)

area 2x+y^2=8,x=y

Frequently Asked Questions (FAQ)

What is (d^2)/(dz^2)(z^2e^z) ?
The answer to (d^2)/(dz^2)(z^2e^z) is e^zz^2+4e^zz+2e^z