What is the derivative of e^{-4x^3-2x+4} ?

The derivative of e^{-4x^3-2x+4} is e^{-4x^3-2x+4}(-12x^2-2)

What is the first derivative of e^{-4x^3-2x+4} ?

The first derivative of e^{-4x^3-2x+4} is e^{-4x^3-2x+4}(-12x^2-2)

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\frac{d}{d x} (e^{- 4 x^{3} - 2 x + 4})

e^{- 4 x^{3} - 2 x + 4} (- 12 x^{2} - 2)

Solution steps

\frac{d}{d x} (e^{- 4 x^{3} - 2 x + 4})

Apply the chain rule:

e^{- 4 x^{3} - 2 x + 4} \frac{d}{d x} (- 4 x^{3} - 2 x + 4)

= e^{- 4 x^{3} - 2 x + 4} \frac{d}{d x} (- 4 x^{3} - 2 x + 4)

\frac{d}{d x} (- 4 x^{3} - 2 x + 4) = - 12 x^{2} - 2

= e^{- 4 x^{3} - 2 x + 4} (- 12 x^{2} - 2)

What is the derivative of e^{-4x^3-2x+4} ?
The derivative of e^{-4x^3-2x+4} is e^{-4x^3-2x+4}(-12x^2-2)
What is the first derivative of e^{-4x^3-2x+4} ?
The first derivative of e^{-4x^3-2x+4} is e^{-4x^3-2x+4}(-12x^2-2)