What is the derivative of e^{2x}x^3 ?

The derivative of e^{2x}x^3 is e^{2x}*2x^3+3x^2e^{2x}

What is the first derivative of e^{2x}x^3 ?

The first derivative of e^{2x}x^3 is e^{2x}*2x^3+3x^2e^{2x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the Product Rule:

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

f = e^{2 x}, g = x^{3}

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

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

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

\int \frac{1}{9 x + 5} d x

\frac{\partial}{\partial x} (a x)

4 ∣ x + 3 ∣ - 5

f (x) = x e^{2 x}

x \to 1 lim (x^{3} - 4 x + 1)

What is the derivative of e^{2x}x^3 ?
The derivative of e^{2x}x^3 is e^{2x}*2x^3+3x^2e^{2x}
What is the first derivative of e^{2x}x^3 ?
The first derivative of e^{2x}x^3 is e^{2x}*2x^3+3x^2e^{2x}