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

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

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

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

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

- 3 (1 - x)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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