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

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

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(\partial)/(\partial x)(e^{xt})

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

e^{x t} 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) = t

= e^{x t} t

\frac{d}{d x} (\frac{1}{x ^{\frac{1}{3}}})

\int z^{2} sin (x) d x

y^{^{''''}} + y = 0

\frac{d y}{d x} = \frac{y ^{2}}{2 x + 3}

\int \frac{x ^{3}}{4 - x ^{4}} d x

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