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

The derivative of (3x^2+1)^2 is 12x(3x^2+1)

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

The first derivative of (3x^2+1)^2 is 12x(3x^2+1)

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derivative of

(3 x^{2} + 1)^{2}

12 x (3 x^{2} + 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= 2 (3 x^{2} + 1) \cdot 6 x

Simplify

= 12 x (3 x^{2} + 1)

What is the derivative of (3x^2+1)^2 ?
The derivative of (3x^2+1)^2 is 12x(3x^2+1)
What is the first derivative of (3x^2+1)^2 ?
The first derivative of (3x^2+1)^2 is 12x(3x^2+1)