What is the derivative of f(x)=x^{10}e^x ?

The derivative of f(x)=x^{10}e^x is 10x^9e^x+e^xx^{10}

What is the first derivative of f(x)=x^{10}e^x ?

The first derivative of f(x)=x^{10}e^x is 10x^9e^x+e^xx^{10}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = x^{10} e^{x}

10 x^{9} e^{x} + e^{x} x^{10}

Solution steps

\frac{d}{d x} (x^{10} e^{x})

Apply the Product Rule:

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

f = x^{10}, g = e^{x}

= \frac{d}{d x} (x^{10}) e^{x} + \frac{d}{d x} (e^{x}) x^{10}

\frac{d}{d x} (x^{10}) = 10 x^{9}

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

= 10 x^{9} e^{x} + e^{x} x^{10}

3^{(x^{5})}

n = 0 \sum \infty 1 + n

y^{^{'}} + 2 y = 4, y (0) = 4

\frac{d}{d x} (\frac{1}{2} tan (x))

\int_{6}^{8} \frac{50}{( x - 6 ) ^{3}} d x

What is the derivative of f(x)=x^{10}e^x ?
The derivative of f(x)=x^{10}e^x is 10x^9e^x+e^xx^{10}
What is the first derivative of f(x)=x^{10}e^x ?
The first derivative of f(x)=x^{10}e^x is 10x^9e^x+e^xx^{10}