What is the derivative of 7e^{-x} ?

The derivative of 7e^{-x} is -7e^{-x}

What is the first derivative of 7e^{-x} ?

The first derivative of 7e^{-x} is -7e^{-x}

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derivative of

7 e^{- x}

- 7 e^{- x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= 7 e^{- x} (- 1)

Simplify

= - 7 e^{- x}

\frac{d y}{d x} + \frac{1}{2} y = 0

\int sin (3 x) + 10 cos (x) d x

g (x) = x

6 sec (x)

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