What is (\partial)/(\partial x)(e^{x+y+5}) ?

The answer to (\partial)/(\partial x)(e^{x+y+5}) is e^{x+y+5}

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(\partial)/(\partial x)(e^{x+y+5})

\frac{\partial}{\partial x} (e^{x + y + 5})

e^{x + y + 5}

Solution steps

\frac{\partial}{\partial x} (e^{x + y + 5})

Treat

y

as a constant

Apply the chain rule:

e^{x + y + 5} \frac{\partial}{\partial x} (x + y + 5)

= e^{x + y + 5} \frac{\partial}{\partial x} (x + y + 5)

\frac{\partial}{\partial x} (x + y + 5) = 1

= e^{x + y + 5} \cdot 1

Simplify

= e^{x + y + 5}

\frac{\partial}{\partial z} (\frac{x - y}{x + z})

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{1 + t ^{2}}

\int_{0}^{π} sin^{4} (3 x) d x

\int - 1 d x

\frac{\partial}{\partial x} (cos (2 x - 3 y))

What is (\partial)/(\partial x)(e^{x+y+5}) ?
The answer to (\partial)/(\partial x)(e^{x+y+5}) is e^{x+y+5}