What is (\partial)/(\partial x)(e^{2x+8y}) ?

The answer to (\partial)/(\partial x)(e^{2x+8y}) is e^{2x+8y}*2

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(\partial)/(\partial x)(e^{2x+8y})

\frac{\partial}{\partial x} (e^{2 x + 8 y})

e^{2 x + 8 y} \cdot 2

Solution steps

\frac{\partial}{\partial x} (e^{2 x + 8 y})

Treat

y

as a constant

Apply the chain rule:

e^{2 x + 8 y} \frac{\partial}{\partial x} (2 x + 8 y)

= e^{2 x + 8 y} \frac{\partial}{\partial x} (2 x + 8 y)

\frac{\partial}{\partial x} (2 x + 8 y) = 2

= e^{2 x + 8 y} \cdot 2

8 x

\frac{m \cdot s}{s ^{2} + \frac{s}{n \cdot m}}

\frac{\partial}{\partial x} (y^{2} (2 x e^{2 x y} + e^{2 x y} \cdot 2 y x^{2}))

\frac{\partial}{\partial x} (2 y^{3})

x \to 0 lim (\frac{4}{x ( x + 2 )})

What is (\partial)/(\partial x)(e^{2x+8y}) ?
The answer to (\partial)/(\partial x)(e^{2x+8y}) is e^{2x+8y}*2