What is the derivative of 30-80e^{-0.8x} ?

The derivative of 30-80e^{-0.8x} is 64e^{-0.8x}

What is the first derivative of 30-80e^{-0.8x} ?

The first derivative of 30-80e^{-0.8x} is 64e^{-0.8x}

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\frac{d}{d x} (30 - 80 e^{- 0.8 x})

64 e^{- 0.8 x}

Solution steps

\frac{d}{d x} (30 - 80 e^{- 0.8 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (30) - \frac{d}{d x} (80 e^{- 0.8 x})

\frac{d}{d x} (30) = 0

\frac{d}{d x} (80 e^{- 0.8 x}) = - 64 e^{- 0.8 x}

= 0 - (- 64 e^{- 0.8 x})

Simplify

= 64 e^{- 0.8 x}

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What is the derivative of 30-80e^{-0.8x} ?
The derivative of 30-80e^{-0.8x} is 64e^{-0.8x}
What is the first derivative of 30-80e^{-0.8x} ?
The first derivative of 30-80e^{-0.8x} is 64e^{-0.8x}