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

The derivative of x+3e^{-x} is 1-3e^{-x}

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

The first derivative of x+3e^{-x} is 1-3e^{-x}

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

1 - 3 e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - 3 e^{- x}

\frac{\partial}{\partial y} (5 x^{\frac{y}{z}})

\int \frac{x ^{3} + 3 x + 4}{x ^{4} + 16 x ^{2}} d x

\frac{d}{d x} (\frac{x ^{2} + 1}{x - 3})

x \to - 8 lim (- \frac{3}{7} x + \frac{10}{11})

\frac{d}{d x} (\frac{7}{x - 1})

What is the derivative of x+3e^{-x} ?
The derivative of x+3e^{-x} is 1-3e^{-x}
What is the first derivative of x+3e^{-x} ?
The first derivative of x+3e^{-x} is 1-3e^{-x}