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

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

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

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

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

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

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

x \to 1 + lim (x + 2)

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

\frac{d}{d x} (x \cdot e^{2 x})

n = 1 \sum \infty - 30 n

\frac{\partial}{\partial t} (cos (x t) + 3 t x^{2})

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