What is the derivative of (3x-1^4) ?

The derivative of (3x-1^4) is 12(3x-1)^3

What is the first derivative of (3x-1^4) ?

The first derivative of (3x-1^4) is 12(3x-1)^3

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\frac{d}{d x} ((3 x - 1)^{4})

12 (3 x - 1)^{3}

Solution steps

\frac{d}{d x} ((3 x - 1)^{4})

Apply the chain rule:

4 (3 x - 1)^{3} \frac{d}{d x} (3 x - 1)

= 4 (3 x - 1)^{3} \frac{d}{d x} (3 x - 1)

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

= 4 (3 x - 1)^{3} \cdot 3

Simplify

= 12 (3 x - 1)^{3}

What is the derivative of (3x-1^4) ?
The derivative of (3x-1^4) is 12(3x-1)^3
What is the first derivative of (3x-1^4) ?
The first derivative of (3x-1^4) is 12(3x-1)^3