What is the derivative of x^{10}-1 ?

The derivative of x^{10}-1 is 10x^9

What is the first derivative of x^{10}-1 ?

The first derivative of x^{10}-1 is 10x^9

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\frac{d}{d x} (x^{10} - 1)

10 x^{9}

Solution steps

\frac{d}{d x} (x^{10} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{10}) - \frac{d}{d x} (1)

\frac{d}{d x} (x^{10}) = 10 x^{9}

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

= 10 x^{9} - 0

Simplify

= 10 x^{9}

\frac{d}{d x} (4 x^{2} - x^{3})

\int 4 x d x

\int 6 x^{- 3} d x

\int x^{4} 1 - x^{2} d x

f (x) = x^{7}

What is the derivative of x^{10}-1 ?
The derivative of x^{10}-1 is 10x^9
What is the first derivative of x^{10}-1 ?
The first derivative of x^{10}-1 is 10x^9