What is the derivative of (x^{10}-1^3) ?

The derivative of (x^{10}-1^3) is 30x^9(x^{10}-1)^2

What is the first derivative of (x^{10}-1^3) ?

The first derivative of (x^{10}-1^3) is 30x^9(x^{10}-1)^2

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\frac{d}{d x} ((x^{10} - 1)^{3})

30 x^{9} (x^{10} - 1)^{2}

Solution steps

\frac{d}{d x} ((x^{10} - 1)^{3})

Apply the chain rule:

3 (x^{10} - 1)^{2} \frac{d}{d x} (x^{10} - 1)

= 3 (x^{10} - 1)^{2} \frac{d}{d x} (x^{10} - 1)

\frac{d}{d x} (x^{10} - 1) = 10 x^{9}

= 3 (x^{10} - 1)^{2} \cdot 10 x^{9}

Simplify

= 30 x^{9} (x^{10} - 1)^{2}

What is the derivative of (x^{10}-1^3) ?
The derivative of (x^{10}-1^3) is 30x^9(x^{10}-1)^2
What is the first derivative of (x^{10}-1^3) ?
The first derivative of (x^{10}-1^3) is 30x^9(x^{10}-1)^2