What is (\partial)/(\partial x)(-2e^{-2x}) ?

The answer to (\partial)/(\partial x)(-2e^{-2x}) is 4e^{-2x}

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(\partial)/(\partial x)(-2e^{-2x})

\frac{\partial}{\partial x} (- 2 e^{- 2 x})

4 e^{- 2 x}

Solution steps

\frac{\partial}{\partial x} (- 2 e^{- 2 x})

Take the constant out:

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

= - 2 \frac{\partial}{\partial x} (e^{- 2 x})

Apply the chain rule:

e^{- 2 x} \frac{\partial}{\partial x} (- 2 x)

= e^{- 2 x} \frac{\partial}{\partial x} (- 2 x)

\frac{\partial}{\partial x} (- 2 x) = - 2

= - 2 e^{- 2 x} (- 2)

Simplify

= 4 e^{- 2 x}

\int a^{2} - z^{2} d z

\frac{\partial}{\partial x} (x e^{x} + 2)

y = (5 x + 2)^{5}

\frac{d}{d x} (\frac{3}{4 x ^{\frac{5}{2}}})

x^{3} + x

What is (\partial)/(\partial x)(-2e^{-2x}) ?
The answer to (\partial)/(\partial x)(-2e^{-2x}) is 4e^{-2x}