What is the derivative of 2x^2-x^4 ?

The derivative of 2x^2-x^4 is 4x-4x^3

What is the first derivative of 2x^2-x^4 ?

The first derivative of 2x^2-x^4 is 4x-4x^3

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\frac{d}{d x} (2 x^{2} - x^{4})

4 x - 4 x^{3}

Solution steps

\frac{d}{d x} (2 x^{2} - x^{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (x^{4})

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (x^{4}) = 4 x^{3}

= 4 x - 4 x^{3}

What is the derivative of 2x^2-x^4 ?
The derivative of 2x^2-x^4 is 4x-4x^3
What is the first derivative of 2x^2-x^4 ?
The first derivative of 2x^2-x^4 is 4x-4x^3