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

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

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

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

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Popular >

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

f (x) = sin (tan (1 + x^{3}))

x \to 3 lim (\frac{x}{2})

\frac{d}{d x} (\frac{1}{arcsec ( x )})

\frac{d}{d t} (cos (wt))

\int 2 e^{x} cos (x) d x

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