What is (\partial)/(\partial x)(xe^{-z}) ?

The answer to (\partial)/(\partial x)(xe^{-z}) is e^{-z}

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(\partial)/(\partial x)(xe^{-z})

\frac{\partial}{\partial x} (x e^{- z})

e^{- z}

Solution steps

\frac{\partial}{\partial x} (x e^{- z})

Treat

z

as a constant

Take the constant out:

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

= e^{- z} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{- z} \cdot 1

Simplify

= e^{- z}

\frac{\partial}{\partial x} (x^{2} ln (y))

\frac{( 3 s + 3 )}{( s ^{2} ( s + 2 ) ^{3} )}

\frac{d P}{d t} + P = 10

f (x) = 8 - x^{3}

cos (x^{- 7})

What is (\partial)/(\partial x)(xe^{-z}) ?
The answer to (\partial)/(\partial x)(xe^{-z}) is e^{-z}