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Popular >

derivative of 1/16 e^{2x^2}

Solution

\frac{d}{d x} (\frac{1}{16} e^{2 x^{2}})

Solution

\frac{e ^{2 x^{2}} x}{4}

Solution steps

\frac{d}{d x} (\frac{1}{16} e^{2 x^{2}})

Take the constant out:

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

= \frac{1}{16} \frac{d}{d x} (e^{2 x^{2}})

Apply the chain rule:

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

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

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

= \frac{1}{16} e^{2 x^{2}} \cdot 4 x

Simplify

\frac{1}{16} e^{2 x^{2}} \cdot 4 x : \frac{e ^{2 x^{2}} x}{4}

= \frac{e ^{2 x^{2}} x}{4}

Popular Examples

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y^'=(3y-4x)/(2x-3x)

y^{^{'}} = \frac{3 y - 4 x}{2 x - 3 x}

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

area y=2x+2,y=x^2+2,x=-1,x=3 area

y = 2 x + 2, y = x^{2} + 2, x = - 1, x = 3

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Frequently Asked Questions (FAQ)

What is the derivative of 1/16 e^{2x^2} ?
The derivative of 1/16 e^{2x^2} is (e^{2x^2}x)/4
What is the first derivative of 1/16 e^{2x^2} ?
The first derivative of 1/16 e^{2x^2} is (e^{2x^2}x)/4