What is (\partial)/(\partial x)(e^{3x+4y}) ?

The answer to (\partial)/(\partial x)(e^{3x+4y}) is e^{3x+4y}*3

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(\partial)/(\partial x)(e^{3x+4y})

\frac{\partial}{\partial x} (e^{3 x + 4 y})

e^{3 x + 4 y} \cdot 3

Solution steps

\frac{\partial}{\partial x} (e^{3 x + 4 y})

Treat

y

as a constant

Apply the chain rule:

e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

= e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

\frac{\partial}{\partial x} (3 x + 4 y) = 3

= e^{3 x + 4 y} \cdot 3

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What is (\partial)/(\partial x)(e^{3x+4y}) ?
The answer to (\partial)/(\partial x)(e^{3x+4y}) is e^{3x+4y}*3