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

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

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(\partial)/(\partial x)(e^{x+t})

\frac{\partial}{\partial x} (e^{x + t})

e^{x + t}

Solution steps

\frac{\partial}{\partial x} (e^{x + t})

Treat

t

as a constant

Apply the chain rule:

e^{x + t} \frac{\partial}{\partial x} (x + t)

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

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

= e^{x + t} \cdot 1

Simplify

= e^{x + t}

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

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

y^{^{'}} + y - x^{2} - 2 x = 0

v^{^{'}} = 9.8 - \frac{3}{2} v, v (0) = 1.5

(\frac{2 y}{x} + \frac{2 x ^{4}}{3}) d x - d y = 0

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