What is the derivative of g(x)=x^3*e^x ?

The derivative of g(x)=x^3*e^x is 3x^2e^x+e^xx^3

What is the first derivative of g(x)=x^3*e^x ?

The first derivative of g(x)=x^3*e^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

g (x) = x^{3} \cdot 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}

\int_{0}^{\frac{π}{6}} (3 sec^{2} (x)) d x

\int 3 cos (t) d t

x \to 3 π + lim (1 + csc (x))

(5^{x})^{^{'}}

\frac{\partial}{\partial x} (14 x^{3} cos (7 x^{2} y))

What is the derivative of g(x)=x^3*e^x ?
The derivative of g(x)=x^3*e^x is 3x^2e^x+e^xx^3
What is the first derivative of g(x)=x^3*e^x ?
The first derivative of g(x)=x^3*e^x is 3x^2e^x+e^xx^3