What is the derivative of 6-e^{-x} ?

The derivative of 6-e^{-x} is e^{-x}

What is the first derivative of 6-e^{-x} ?

The first derivative of 6-e^{-x} is e^{-x}

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\frac{d}{d x} (6 - e^{- x})

e^{- x}

Solution steps

\frac{d}{d x} (6 - e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6) - \frac{d}{d x} (e^{- x})

\frac{d}{d x} (6) = 0

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

= 0 - (- e^{- x})

Simplify

= e^{- x}

\frac{d y}{d x} = 7 y e^{x + 3}

\frac{d}{d x} ((2^{x})^{8})

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

x \to 1 lim (\frac{x + 3}{2})

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

What is the derivative of 6-e^{-x} ?
The derivative of 6-e^{-x} is e^{-x}
What is the first derivative of 6-e^{-x} ?
The first derivative of 6-e^{-x} is e^{-x}