What is the derivative of e^{-2x}-3y ?

The derivative of e^{-2x}-3y is -2e^{-2x}-3(dy)/(dx)

What is the first derivative of e^{-2x}-3y ?

The first derivative of e^{-2x}-3y is -2e^{-2x}-3(dy)/(dx)

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\frac{d}{d x} (e^{- 2 x} - 3 y)

- 2 e^{- 2 x} - 3 \frac{d y}{d x}

Solution steps

\frac{d}{d x} (e^{- 2 x} - 3 y)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{- 2 x}) - \frac{d}{d x} (3 y)

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

\frac{d}{d x} (3 y) = 3 \frac{d y}{d x}

= - 2 e^{- 2 x} - 3 \frac{d y}{d x}

\frac{d}{d x} (\frac{2 x - 1}{x + 2})

y^{^{'}} = e^{8 x} - 6 x

f (x) = \frac{40 t}{t + 2}

h \to 0 lim ((2 x + h) - 2 x)

What is the derivative of e^{-2x}-3y ?
The derivative of e^{-2x}-3y is -2e^{-2x}-3(dy)/(dx)
What is the first derivative of e^{-2x}-3y ?
The first derivative of e^{-2x}-3y is -2e^{-2x}-3(dy)/(dx)