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

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

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

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

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

12 x (2 x^{2} - 1)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{2} - 1) = 4 x

= 3 (2 x^{2} - 1)^{2} \cdot 4 x

Simplify

= 12 x (2 x^{2} - 1)^{2}

n = 1 \sum \infty \frac{2 n}{5 n - 7}

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

\frac{\partial}{\partial x} (\frac{6}{x ^{3}})

\frac{d}{d x} (\frac{20}{x ^{3}})

\int 3 x^{2} - 5 x + 2 d x

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