What is (\partial)/(\partial y)(e^{3xy}) ?

The answer to (\partial)/(\partial y)(e^{3xy}) is e^{3xy}*3x

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(\partial)/(\partial y)(e^{3xy})

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

e^{3 x y} \cdot 3 x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial y} (3 x y) = 3 x

= e^{3 x y} \cdot 3 x

f (x) = x - 4, (20, 40)

\frac{d y}{d x} + 5 y = 0

\frac{\partial}{\partial x} (5 + e^{- x y} cos (y))

x \to 7 lim (\frac{x ^{2} - 5 x - 14}{x - 7})

\int_{1}^{e} \frac{x ^{2} - 1}{x} d x

What is (\partial)/(\partial y)(e^{3xy}) ?
The answer to (\partial)/(\partial y)(e^{3xy}) is e^{3xy}*3x