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

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

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

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

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

3 (x - a)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 3 (x - a)^{2}

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\int \frac{1}{x ( 1 + x )} d x

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\frac{\partial}{\partial x} (3 x + 2 y sin (x))

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