What is the derivative of e^{-6x} ?

The derivative of e^{-6x} is -6e^{-6x}

What is the first derivative of e^{-6x} ?

The first derivative of e^{-6x} is -6e^{-6x}

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derivative of

e^{- 6 x}

- 6 e^{- 6 x}

Solution steps

\frac{d}{d x} (e^{- 6 x})

Apply the chain rule:

e^{- 6 x} \frac{d}{d x} (- 6 x)

= e^{- 6 x} \frac{d}{d x} (- 6 x)

\frac{d}{d x} (- 6 x) = - 6

= e^{- 6 x} (- 6)

Simplify

= - 6 e^{- 6 x}

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

d er i v a t i v e y = 1 + cot^{2} (x)

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

y^{^{'}} - 5 y = 10

\frac{d}{d x} (x^{9} ln (x))

What is the derivative of e^{-6x} ?
The derivative of e^{-6x} is -6e^{-6x}
What is the first derivative of e^{-6x} ?
The first derivative of e^{-6x} is -6e^{-6x}