What is the derivative of 2-x^6 ?

The derivative of 2-x^6 is -6x^5

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

The first derivative of 2-x^6 is -6x^5

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derivative of

2 - x^{6}

- 6 x^{5}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 6 x^{5}

Simplify

= - 6 x^{5}

\int 5 x - x^{2} - x d x

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x \frac{d y}{d x} - 2 y = x^{- 2} + 2 x^{3} e^{x}

\int \frac{e ^{x}}{5 + e ^{2 x}} d x

\frac{d}{d x} (\frac{1}{2} (sin (x) + x cos (x)))