What is (\partial)/(\partial x)(e^{6x+7y}) ?

The answer to (\partial)/(\partial x)(e^{6x+7y}) is e^{6x+7y}*6

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(\partial)/(\partial x)(e^{6x+7y})

\frac{\partial}{\partial x} (e^{6 x + 7 y})

e^{6 x + 7 y} \cdot 6

Solution steps

\frac{\partial}{\partial x} (e^{6 x + 7 y})

Treat

y

as a constant

Apply the chain rule:

e^{6 x + 7 y} \frac{\partial}{\partial x} (6 x + 7 y)

= e^{6 x + 7 y} \frac{\partial}{\partial x} (6 x + 7 y)

\frac{\partial}{\partial x} (6 x + 7 y) = 6

= e^{6 x + 7 y} \cdot 6

\frac{d}{d x} (\frac{2}{1 - 6 x})

\int \frac{1}{9}

\int_{0}^{1} \frac{y}{e ^{4 y}} d y

\frac{d}{d x} (x x + 6)

x \to \infty lim (- \frac{1}{x} + 1)

What is (\partial)/(\partial x)(e^{6x+7y}) ?
The answer to (\partial)/(\partial x)(e^{6x+7y}) is e^{6x+7y}*6