What is the derivative of y=x^3e^x ?

The derivative of y=x^3e^x is 3x^2e^x+e^xx^3

What is the first derivative of y=x^3e^x ?

The first derivative of y=x^3e^x is 3x^2e^x+e^xx^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = x^{3} e^{x}

3 x^{2} e^{x} + e^{x} x^{3}

Solution steps

\frac{d}{d x} (x^{3} e^{x})

Apply the Product Rule:

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

f = x^{3}, g = e^{x}

= \frac{d}{d x} (x^{3}) e^{x} + \frac{d}{d x} (e^{x}) x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

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

= 3 x^{2} e^{x} + e^{x} x^{3}

3 x + 4 y = 12

f (x) = sin (ln (x))

(- 3, 33)

(- 1.8) (7.3)

(4, 0), (- 3, 4)

What is the derivative of y=x^3e^x ?
The derivative of y=x^3e^x is 3x^2e^x+e^xx^3
What is the first derivative of y=x^3e^x ?
The first derivative of y=x^3e^x is 3x^2e^x+e^xx^3