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

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

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

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

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^{- x y})

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x y) = - y - x \frac{d y}{d x}

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

2.192 x 1 0^{- 7}

(1 0^{3})^{- 3} \cdot (1 0^{- 3} \cdot 0. 5^{- 2})

(sec^{2} (x))^{- \frac{3}{2}}

\frac{0. 6 ^{10}}{10 !} \cdot e^{- 0.6}

(1 + x^{2} \cdot 2 x)^{2}

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