What is (\partial)/(\partial y)(e^{x+y+4}) ?

The answer to (\partial)/(\partial y)(e^{x+y+4}) is e^{x+y+4}

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(\partial)/(\partial y)(e^{x+y+4})

\frac{\partial}{\partial y} (e^{x + y + 4})

e^{x + y + 4}

Solution steps

\frac{\partial}{\partial y} (e^{x + y + 4})

Treat

x

as a constant

Apply the chain rule:

e^{x + y + 4} \frac{\partial}{\partial y} (x + y + 4)

= e^{x + y + 4} \frac{\partial}{\partial y} (x + y + 4)

\frac{\partial}{\partial y} (x + y + 4) = 1

= e^{x + y + 4} \cdot 1

Simplify

= e^{x + y + 4}

\frac{d y}{d x} = 3 y + 1

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

x sin (x)

y = (1 + 4 x)^{\frac{3}{2}}

\int \frac{5 x + 25}{x} d x

What is (\partial)/(\partial y)(e^{x+y+4}) ?
The answer to (\partial)/(\partial y)(e^{x+y+4}) is e^{x+y+4}