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

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

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

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

e^{x + 6 y}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + 6 y) = 1

= e^{x + 6 y} \cdot 1

Simplify

= e^{x + 6 y}

ln (x^{2} + 2 x) (x^{4} + 3 x^{2})^{5}

\frac{d}{d x} (12 - 3 x^{2})

x \to 0 lim (\frac{tan ( x ^{2} )}{x})

\frac{d}{d x} ((cos (2 x))^{2})

\frac{4}{x}, 16 x, \frac{1}{4} x

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