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

The derivative of 2e^{4x^2} is 16e^{4x^2}x

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

The first derivative of 2e^{4x^2} is 16e^{4x^2}x

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

16 e^{4 x^{2}} x

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

= 2 e^{4 x^{2}} \cdot 8 x

Simplify

= 16 e^{4 x^{2}} x

\frac{1}{4 s ^{3}}

x \to 1 lim (\frac{x - 1}{1 - x})

\int \frac{1}{( x ^{2} + 2 x + 3 ) ^{2}} d x

\frac{d}{d x} (\frac{4}{1 - x})

\frac{d}{d x} (sin (x) + x cos (x))

What is the derivative of 2e^{4x^2} ?
The derivative of 2e^{4x^2} is 16e^{4x^2}x
What is the first derivative of 2e^{4x^2} ?
The first derivative of 2e^{4x^2} is 16e^{4x^2}x