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

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

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

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

- 2 e^{- 2 x}

Solution steps

\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

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

Simplify

= - 2 e^{- 2 x}

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

y = 0, y = x^{2}, y = x + 2

x \to \infty lim (∣ 2 - x ∣)

\frac{d}{d x} (0.5 (1 - cos (x)))

\frac{d y}{d x} = 4 y e^{x + 6}

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