What is the derivative of e^{-12x} ?

The derivative of e^{-12x} is -12e^{-12x}

What is the first derivative of e^{-12x} ?

The first derivative of e^{-12x} is -12e^{-12x}

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\frac{d}{d x} (e^{- 12 x})

- 12 e^{- 12 x}

Solution steps

\frac{d}{d x} (e^{- 12 x})

Apply the chain rule:

e^{- 12 x} \frac{d}{d x} (- 12 x)

= e^{- 12 x} \frac{d}{d x} (- 12 x)

\frac{d}{d x} (- 12 x) = - 12

= e^{- 12 x} (- 12)

Simplify

= - 12 e^{- 12 x}

\int (1 - x - y)^{3} d y

(3, - 5), (5, - 5)

\int x^{2} ln^{2} (x) d x

y^{^{'}} + 3 x^{2} y = x e^{- x^{3}}

y^{^{'}} = \frac{3 sec ( y )}{( x + 5 ) ^{2}}

What is the derivative of e^{-12x} ?
The derivative of e^{-12x} is -12e^{-12x}
What is the first derivative of e^{-12x} ?
The first derivative of e^{-12x} is -12e^{-12x}