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

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

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

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

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

- 21 e^{- 3 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 3 x) = - 3

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

Simplify

= - 21 e^{- 3 x}

\int x^{- \frac{5}{4}} d x

\int cos^{6} (x) d x

(x + \frac{y}{x}) d x - d y = 0

y^{^{'}} = 2 y + e^{2 x} cos (3 x), y (0) = 4

\frac{6 x ^{2} + 6 x + 6}{x}

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