What is the derivative of 11(2xe^x+e^xx^2) ?

The derivative of 11(2xe^x+e^xx^2) is 11(e^xx^2+4e^xx+2e^x)

What is the first derivative of 11(2xe^x+e^xx^2) ?

The first derivative of 11(2xe^x+e^xx^2) is 11(e^xx^2+4e^xx+2e^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

11 (2 x e^{x} + e^{x} x^{2})

11 (e^{x} x^{2} + 4 e^{x} x + 2 e^{x})

Solution steps

\frac{d}{d x} (11 (2 x e^{x} + e^{x} x^{2}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 11 \frac{d}{d x} (2 x e^{x} + e^{x} x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 11 (\frac{d}{d x} (2 x e^{x}) + \frac{d}{d x} (e^{x} x^{2}))

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

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

= 11 (2 (e^{x} + e^{x} x) + e^{x} x^{2} + 2 x e^{x})

Expand

2 (e^{x} + e^{x} x) + e^{x} x^{2} + 2 x e^{x} : e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

= 11 (e^{x} x^{2} + 4 e^{x} x + 2 e^{x})

\int_{- 3}^{3} \frac{16}{x ^{2} - 2 x - 63} d x

\frac{\partial}{\partial x} (- 5 cos (9 x))

(x^{2} + 1) \frac{d y}{d x} + 4 x (y - 1) = 0, y (0) = 6

y = 2 x + 4

7 x - 8 y x^{2} + 1 (\frac{d y}{d x}) = 0

What is the derivative of 11(2xe^x+e^xx^2) ?
The derivative of 11(2xe^x+e^xx^2) is 11(e^xx^2+4e^xx+2e^x)
What is the first derivative of 11(2xe^x+e^xx^2) ?
The first derivative of 11(2xe^x+e^xx^2) is 11(e^xx^2+4e^xx+2e^x)