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

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

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

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

e^{x + 7 y}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + 7 y) = 1

= e^{x + 7 y} \cdot 1

Simplify

= e^{x + 7 y}

y = (x^{2} + 7 x + 2)^{3}

y^{^{'}} = 8 \cdot \frac{2 + y}{x}, y (1) = 8

y = 6 cot (3 x)

\frac{d}{d x} ((x - 6) (5 x + 1))

f (x) = \frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}

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