What is (\partial)/(\partial x)(300e^{xt}) ?

The answer to (\partial)/(\partial x)(300e^{xt}) is 300e^{xt}t

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(\partial)/(\partial x)(300e^{xt})

\frac{\partial}{\partial x} (300 e^{x t})

300 e^{x t} t

Solution steps

\frac{\partial}{\partial x} (300 e^{x t})

Treat

t

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 300 \frac{\partial}{\partial x} (e^{x t})

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

= 300 e^{x t} t

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What is (\partial)/(\partial x)(300e^{xt}) ?
The answer to (\partial)/(\partial x)(300e^{xt}) is 300e^{xt}t