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

The derivative of f(x)=(3x^2-1)^2 is 12x(3x^2-1)

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

The first derivative of f(x)=(3x^2-1)^2 is 12x(3x^2-1)

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derivative of

f (x) = (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)

2 x, y = \frac{1}{3} x

\frac{d}{d x} (x^{3} + 3 x^{2} - 9 x + 4)

x \to 2 lim (k x)

\int 9 - y^{2} d y

sin (x), cos (x), - \frac{π}{18}, \frac{9}{4}

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