What is the derivative of (x^3-1^2) ?

The derivative of (x^3-1^2) is 6x^2(x^3-1)

What is the first derivative of (x^3-1^2) ?

The first derivative of (x^3-1^2) is 6x^2(x^3-1)

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

6 x^{2} (x^{3} - 1)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 x^{2} (x^{3} - 1)

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What is the derivative of (x^3-1^2) ?
The derivative of (x^3-1^2) is 6x^2(x^3-1)
What is the first derivative of (x^3-1^2) ?
The first derivative of (x^3-1^2) is 6x^2(x^3-1)