What is (\partial)/(\partial y)(e^{3x+2y}) ?

The answer to (\partial)/(\partial y)(e^{3x+2y}) is e^{3x+2y}*2

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(\partial)/(\partial y)(e^{3x+2y})

\frac{\partial}{\partial y} (e^{3 x + 2 y})

e^{3 x + 2 y} \cdot 2

Solution steps

\frac{\partial}{\partial y} (e^{3 x + 2 y})

Treat

x

as a constant

Apply the chain rule:

e^{3 x + 2 y} \frac{\partial}{\partial y} (3 x + 2 y)

= e^{3 x + 2 y} \frac{\partial}{\partial y} (3 x + 2 y)

\frac{\partial}{\partial y} (3 x + 2 y) = 2

= e^{3 x + 2 y} \cdot 2

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

\frac{d}{d x} (16 sin (2 x))

\frac{1}{2 s ^{2} + 4 s + 3}

y^{^{'}} + 4 y = 3 sin (e^{4 x})

What is (\partial)/(\partial y)(e^{3x+2y}) ?
The answer to (\partial)/(\partial y)(e^{3x+2y}) is e^{3x+2y}*2