What is (\partial)/(\partial x)(e^{(x+y+1)}) ?

The answer to (\partial)/(\partial x)(e^{(x+y+1)}) is e^{x+y+1}

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(\partial)/(\partial x)(e^{(x+y+1)})

\frac{\partial}{\partial x} (e^{(x + y + 1)})

e^{x + y + 1}

Solution steps

\frac{\partial}{\partial x} (e^{(x + y + 1)})

Treat

y

as a constant

Apply the chain rule:

e^{x + y + 1} \frac{\partial}{\partial x} (x + y + 1)

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

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

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

Simplify

= e^{x + y + 1}

\int_{a}^{b} x^{2} (\frac{1}{b - a}) d x

(x + 3)^{3 x - 2}

y = \frac{1}{x - 5}, (4, - 1)

\frac{d}{d y} (\frac{1}{y} e^{x y})

y^{2} = (x y y^{^{'}} + 1) ln (x)

What is (\partial)/(\partial x)(e^{(x+y+1)}) ?
The answer to (\partial)/(\partial x)(e^{(x+y+1)}) is e^{x+y+1}