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

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

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

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

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

24 e^{4 x^{2}} x

Solution steps

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

Take the constant out:

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

= 3 \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

= 3 e^{4 x^{2}} \cdot 8 x

Simplify

= 24 e^{4 x^{2}} x

\frac{s}{( s ^{2} + 9 ) \cdot ( s ^{2} + 16 )}

ln (\frac{1 + x}{1 - x})

\frac{\partial}{\partial y} (4 x^{3} y^{3} - 2)

f (x) = \frac{4 + cot ( x )}{7 - tan ( x )}

5 t

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