What is the derivative of 3e^{-7x} ?

The derivative of 3e^{-7x} is -21e^{-7x}

What is the first derivative of 3e^{-7x} ?

The first derivative of 3e^{-7x} is -21e^{-7x}

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\frac{d}{d x} (3 e^{- 7 x})

- 21 e^{- 7 x}

Solution steps

\frac{d}{d x} (3 e^{- 7 x})

Take the constant out:

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

= 3 \frac{d}{d x} (e^{- 7 x})

Apply the chain rule:

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

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

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

= 3 e^{- 7 x} (- 7)

Simplify

= - 21 e^{- 7 x}

\frac{d}{d x} (\frac{10 x ^{3}}{3})

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

x \to \frac{x}{3} lim (sec (x))

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

\frac{d}{d x} (\frac{1}{3 x ^{2} + 5 x})

What is the derivative of 3e^{-7x} ?
The derivative of 3e^{-7x} is -21e^{-7x}
What is the first derivative of 3e^{-7x} ?
The first derivative of 3e^{-7x} is -21e^{-7x}