What is the derivative of 4e^{3x^2} ?

The derivative of 4e^{3x^2} is 24e^{3x^2}x

What is the first derivative of 4e^{3x^2} ?

The first derivative of 4e^{3x^2} is 24e^{3x^2}x

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

24 e^{3 x^{2}} x

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 4 e^{3 x^{2}} \cdot 6 x

Simplify

= 24 e^{3 x^{2}} x

\frac{2 x ^{3} + 5}{4 x ^{2} + 7}

1 + x^{2}

- \frac{1}{4} (x^{- 4} - x^{8})

e^{- \frac{π}{2} t}

\int e^{\frac{1}{2} x^{2}} \cdot x^{3} d x

What is the derivative of 4e^{3x^2} ?
The derivative of 4e^{3x^2} is 24e^{3x^2}x
What is the first derivative of 4e^{3x^2} ?
The first derivative of 4e^{3x^2} is 24e^{3x^2}x