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

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

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

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

e^{3 x y} \cdot 3 y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\int \frac{ln ( 10 x )}{x} d x

\frac{d}{d x} (I n (\frac{4 + x ^{2}}{x}))

\int \frac{sin ( 5 x )}{cos ( 5 x )} d x

6 x, 4 x^{2}

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

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