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

The derivative of 4e^{x^2} is 8e^{x^2}x

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

The first derivative of 4e^{x^2} is 8e^{x^2}x

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derivative of

4 e^{x^{2}}

8 e^{x^{2}} x

Solution steps

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

Take the constant out:

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

= 4 \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

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

Simplify

= 8 e^{x^{2}} x

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

f (x) = 4 - x - \frac{2}{3}

e^{1 + x^{2}}

2 e^{- t} cos (4 t) 1 (t)

y = ln (x + 2)

What is the derivative of 4e^{x^2} ?
The derivative of 4e^{x^2} is 8e^{x^2}x
What is the first derivative of 4e^{x^2} ?
The first derivative of 4e^{x^2} is 8e^{x^2}x