What is the derivative of x^7*e^x ?

The derivative of x^7*e^x is 7x^6e^x+e^xx^7

What is the first derivative of x^7*e^x ?

The first derivative of x^7*e^x is 7x^6e^x+e^xx^7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{7} \cdot e^{x}

7 x^{6} e^{x} + e^{x} x^{7}

Solution steps

\frac{d}{d x} (x^{7} e^{x})

Apply the Product Rule:

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

f = x^{7}, g = e^{x}

= \frac{d}{d x} (x^{7}) e^{x} + \frac{d}{d x} (e^{x}) x^{7}

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 7 x^{6} e^{x} + e^{x} x^{7}

\frac{\partial}{\partial x} (x^{6} y^{9} - x^{5} y^{8})

\frac{\partial}{\partial x} (x - \frac{1}{x} e^{\frac{y}{x}})

\frac{d}{d s} (\frac{2}{s + s ^{2} + 4})

\frac{\partial}{\partial x} (6 x y - 12 x)

(2 x + 4) d x + (3 y - 1) d y = 0

What is the derivative of x^7*e^x ?
The derivative of x^7*e^x is 7x^6e^x+e^xx^7
What is the first derivative of x^7*e^x ?
The first derivative of x^7*e^x is 7x^6e^x+e^xx^7