What is the derivative of e^{x-y} ?

The derivative of e^{x-y} is e^{x-y}

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

The first derivative of e^{x-y} is e^{x-y}

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derivative of

e^{x - y}

e^{x - y}

Solution steps

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

Treat

y

as a constant

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) = 1

= e^{x - y} \cdot 1

Simplify

= e^{x - y}

y = 7

\int x^{2} (x^{3} + 1)^{\frac{1}{2}} d x

c^{\frac{1}{2}}

\frac{- 2}{x} - \frac{- 4}{y} = 1

y = 3 cos (3 x), y = 3 - 3 cos (3 x), 0 \leq x \leq \frac{π}{3}

What is the derivative of e^{x-y} ?
The derivative of e^{x-y} is e^{x-y}
What is the first derivative of e^{x-y} ?
The first derivative of e^{x-y} is e^{x-y}