What is the derivative of 1-x^6 ?

The derivative of 1-x^6 is -6x^5

What is the first derivative of 1-x^6 ?

The first derivative of 1-x^6 is -6x^5

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\frac{d}{d x} (1 - x^{6})

- 6 x^{5}

Solution steps

\frac{d}{d x} (1 - x^{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (x^{6})

\frac{d}{d x} (1) = 0

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

= 0 - 6 x^{5}

Simplify

= - 6 x^{5}