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

The derivative of x^4-4x^2+2 is 4x^3-8x

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

The first derivative of x^4-4x^2+2 is 4x^3-8x

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

4 x^{3} - 8 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (2) = 0

= 4 x^{3} - 8 x + 0

Simplify

= 4 x^{3} - 8 x

What is the derivative of x^4-4x^2+2 ?
The derivative of x^4-4x^2+2 is 4x^3-8x
What is the first derivative of x^4-4x^2+2 ?
The first derivative of x^4-4x^2+2 is 4x^3-8x