What is the derivative of x^4e^{10x} ?

The derivative of x^4e^{10x} is 4x^3e^{10x}+e^{10x}*10x^4

What is the first derivative of x^4e^{10x} ?

The first derivative of x^4e^{10x} is 4x^3e^{10x}+e^{10x}*10x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (x^{4} e^{10 x})

4 x^{3} e^{10 x} + e^{10 x} \cdot 10 x^{4}

Solution steps

\frac{d}{d x} (x^{4} e^{10 x})

Apply the Product Rule:

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

f = x^{4}, g = e^{10 x}

= \frac{d}{d x} (x^{4}) e^{10 x} + \frac{d}{d x} (e^{10 x}) x^{4}

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} e^{10 x} + e^{10 x} \cdot 10 x^{4}

\frac{d}{d x} (\frac{8}{5} x^{- \frac{2}{4}})

f (x) = x^{3} + 2 x, at x = 3

x \to 1 lim (7)

x^{4}

v (t) = t - 13, [0, 3]

What is the derivative of x^4e^{10x} ?
The derivative of x^4e^{10x} is 4x^3e^{10x}+e^{10x}*10x^4
What is the first derivative of x^4e^{10x} ?
The first derivative of x^4e^{10x} is 4x^3e^{10x}+e^{10x}*10x^4