What is the derivative of e^{xy} ?

The derivative of e^{xy} is e^{xy}y

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

The first derivative of e^{xy} is e^{xy}y

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Popular >

derivative of

e^{x y}

e^{x y} 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) = y

= e^{x y} y

\frac{10}{s ( s ^{2} + 10 s + 50 )}

x \to - 4 lim (6 x + 1)

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

\int \frac{1}{x ^{2} + 4 x + 13} d x

y^{^{''}} + 9 y = 5 sec (3 t)

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