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

The derivative of e^{2x^6}-1 is 12e^{2x^6}x^5

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

The first derivative of e^{2x^6}-1 is 12e^{2x^6}x^5

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\frac{d}{d x} (e^{2 x^{6}} - 1)

12 e^{2 x^{6}} x^{5}

Solution steps

\frac{d}{d x} (e^{2 x^{6}} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{2 x^{6}}) - \frac{d}{d x} (1)

\frac{d}{d x} (e^{2 x^{6}}) = e^{2 x^{6}} \cdot 12 x^{5}

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

= e^{2 x^{6}} \cdot 12 x^{5} - 0

Simplify

= 12 e^{2 x^{6}} x^{5}

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What is the derivative of e^{2x^6}-1 ?
The derivative of e^{2x^6}-1 is 12e^{2x^6}x^5
What is the first derivative of e^{2x^6}-1 ?
The first derivative of e^{2x^6}-1 is 12e^{2x^6}x^5