What is the derivative of e^xx^2 ?

The derivative of e^xx^2 is e^xx^2+2xe^x

What is the first derivative of e^xx^2 ?

The first derivative of e^xx^2 is e^xx^2+2xe^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

e^{x} x^{2} + 2 x e^{x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = x^{2}

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

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

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

= e^{x} x^{2} + 2 x e^{x}

x^{7} arcsin (x)

\int (5 x^{2} + 7 x + 11) d x

\int_{0}^{\frac{1}{2}} x cos (π x) d x

\frac{\partial}{\partial x} (cos^{6} (x^{9} y^{8}))

\frac{\partial}{\partial x} (ln (x^{4} + y^{9}))

What is the derivative of e^xx^2 ?
The derivative of e^xx^2 is e^xx^2+2xe^x
What is the first derivative of e^xx^2 ?
The first derivative of e^xx^2 is e^xx^2+2xe^x