What is the derivative of (x^6/3-2x) ?

The derivative of (x^6/3-2x) is 2x^5-2

What is the first derivative of (x^6/3-2x) ?

The first derivative of (x^6/3-2x) is 2x^5-2

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

2 x^{5} - 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{6}}{3}) = 2 x^{5}

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

= 2 x^{5} - 2

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What is the derivative of (x^6/3-2x) ?
The derivative of (x^6/3-2x) is 2x^5-2
What is the first derivative of (x^6/3-2x) ?
The first derivative of (x^6/3-2x) is 2x^5-2