What is the derivative of e^{3xy} ?

The derivative of e^{3xy} is e^{3xy}*3(y+x(dy)/(dx))

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

The first derivative of e^{3xy} is e^{3xy}*3(y+x(dy)/(dx))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x y) = 3 (y + x \frac{d y}{d x})

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

What is the derivative of e^{3xy} ?
The derivative of e^{3xy} is e^{3xy}*3(y+x(dy)/(dx))
What is the first derivative of e^{3xy} ?
The first derivative of e^{3xy} is e^{3xy}*3(y+x(dy)/(dx))