What is the derivative of 1-e^{3x^2} ?

The derivative of 1-e^{3x^2} is -6e^{3x^2}x

What is the first derivative of 1-e^{3x^2} ?

The first derivative of 1-e^{3x^2} is -6e^{3x^2}x

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derivative of

1 - e^{3 x^{2}}

- 6 e^{3 x^{2}} x

Solution steps

\frac{d}{d x} (1 - e^{3 x^{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{3 x^{2}})

\frac{d}{d x} (1) = 0

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

= 0 - e^{3 x^{2}} \cdot 6 x

Simplify

= - 6 e^{3 x^{2}} x

x \frac{d y}{d x} = y + x^{2} - y^{2}

\frac{2 s ^{2}}{s ^{4} - 1}

\int_{0}^{1} 2 x (x^{2} + 1)^{2} d x

f (x) = \frac{6}{x ^{2}}

What is the derivative of 1-e^{3x^2} ?
The derivative of 1-e^{3x^2} is -6e^{3x^2}x
What is the first derivative of 1-e^{3x^2} ?
The first derivative of 1-e^{3x^2} is -6e^{3x^2}x