What is the derivative of e^{x^2}*1/2 ?

The derivative of e^{x^2}*1/2 is e^{x^2}x

What is the first derivative of e^{x^2}*1/2 ?

The first derivative of e^{x^2}*1/2 is e^{x^2}x

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derivative of

e^{x^{2}} \cdot \frac{1}{2}

e^{x^{2}} x

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= e^{x^{2}} x

q^{x} + x^{q}

\int_{5}^{- 3} 10 x^{2} d x

n = 0 \sum \infty z^{n}

6 sin (θ)

32 y^{^{''}} - 4 y^{^{'}} - 21 y = 0

What is the derivative of e^{x^2}*1/2 ?
The derivative of e^{x^2}*1/2 is e^{x^2}x
What is the first derivative of e^{x^2}*1/2 ?
The first derivative of e^{x^2}*1/2 is e^{x^2}x