What is (\partial)/(\partial x)(e^{7x+3y}) ?

The answer to (\partial)/(\partial x)(e^{7x+3y}) is e^{7x+3y}*7

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(\partial)/(\partial x)(e^{7x+3y})

\frac{\partial}{\partial x} (e^{7 x + 3 y})

e^{7 x + 3 y} \cdot 7

Solution steps

\frac{\partial}{\partial x} (e^{7 x + 3 y})

Treat

y

as a constant

Apply the chain rule:

e^{7 x + 3 y} \frac{\partial}{\partial x} (7 x + 3 y)

= e^{7 x + 3 y} \frac{\partial}{\partial x} (7 x + 3 y)

\frac{\partial}{\partial x} (7 x + 3 y) = 7

= e^{7 x + 3 y} \cdot 7

\int - x 1 - x^{2} d x

\frac{d}{d x} (- x + 4)

x \to - 1 + lim (x^{2})

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

\int \frac{1}{2 x + 4} d x

What is (\partial)/(\partial x)(e^{7x+3y}) ?
The answer to (\partial)/(\partial x)(e^{7x+3y}) is e^{7x+3y}*7