What is the derivative of y=2xe^{-6x}-4e^{x^3} ?

The derivative of y=2xe^{-6x}-4e^{x^3} is 2(e^{-6x}-6e^{-6x}x)-12e^{x^3}x^2

What is the first derivative of y=2xe^{-6x}-4e^{x^3} ?

The first derivative of y=2xe^{-6x}-4e^{x^3} is 2(e^{-6x}-6e^{-6x}x)-12e^{x^3}x^2

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derivative of

y = 2 x e^{- 6 x} - 4 e^{x^{3}}

2 (e^{- 6 x} - 6 e^{- 6 x} x) - 12 e^{x^{3}} x^{2}

Solution steps

\frac{d}{d x} (2 x e^{- 6 x} - 4 e^{x^{3}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x e^{- 6 x}) - \frac{d}{d x} (4 e^{x^{3}})

\frac{d}{d x} (2 x e^{- 6 x}) = 2 (e^{- 6 x} - 6 e^{- 6 x} x)

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

= 2 (e^{- 6 x} - 6 e^{- 6 x} x) - 12 e^{x^{3}} x^{2}

f (x) = \frac{10 x}{x ^{2} - 6}, (4, 4)

4 x^{2} - 3

y = x^{2} + 4 x + 3

n = 0 \sum \infty sin (\frac{1}{n ^{2}})

What is the derivative of y=2xe^{-6x}-4e^{x^3} ?
The derivative of y=2xe^{-6x}-4e^{x^3} is 2(e^{-6x}-6e^{-6x}x)-12e^{x^3}x^2
What is the first derivative of y=2xe^{-6x}-4e^{x^3} ?
The first derivative of y=2xe^{-6x}-4e^{x^3} is 2(e^{-6x}-6e^{-6x}x)-12e^{x^3}x^2