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Popular >

derivative of 7e^{-x}-8e^{-7x}

Solution

\frac{d}{d x} (7 e^{- x} - 8 e^{- 7 x})

Solution

- 7 e^{- x} + 56 e^{- 7 x}

Solution steps

\frac{d}{d x} (7 e^{- x} - 8 e^{- 7 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 e^{- x}) - \frac{d}{d x} (8 e^{- 7 x})

\frac{d}{d x} (7 e^{- x}) = - 7 e^{- x}

\frac{d}{d x} (8 e^{- 7 x}) = - 56 e^{- 7 x}

= - 7 e^{- x} - (- 56 e^{- 7 x})

Simplify

= - 7 e^{- x} + 56 e^{- 7 x}

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Frequently Asked Questions (FAQ)

What is the derivative of 7e^{-x}-8e^{-7x} ?
The derivative of 7e^{-x}-8e^{-7x} is -7e^{-x}+56e^{-7x}
What is the first derivative of 7e^{-x}-8e^{-7x} ?
The first derivative of 7e^{-x}-8e^{-7x} is -7e^{-x}+56e^{-7x}