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

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

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

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

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

- 2 x + 2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

Simplify

= - 2 x + 2 e^{2 x}

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