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

The derivative of e^{2x}+x^3 is e^{2x}*2+3x^2

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

The first derivative of e^{2x}+x^3 is e^{2x}*2+3x^2

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

e^{2 x} \cdot 2 + 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{2 x} \cdot 2 + 3 x^{2}

What is the derivative of e^{2x}+x^3 ?
The derivative of e^{2x}+x^3 is e^{2x}*2+3x^2
What is the first derivative of e^{2x}+x^3 ?
The first derivative of e^{2x}+x^3 is e^{2x}*2+3x^2