What is the derivative of 8x-2x^3 ?

The derivative of 8x-2x^3 is 8-6x^2

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

The first derivative of 8x-2x^3 is 8-6x^2

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\frac{d}{d x} (8 x - 2 x^{3})

8 - 6 x^{2}

Solution steps

\frac{d}{d x} (8 x - 2 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x) - \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= 8 - 6 x^{2}

What is the derivative of 8x-2x^3 ?
The derivative of 8x-2x^3 is 8-6x^2
What is the first derivative of 8x-2x^3 ?
The first derivative of 8x-2x^3 is 8-6x^2