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

The derivative of sqrt(2x^3-3) is (3x^2)/(sqrt(2x^3-3))

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

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

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derivative of

2 x^{3} - 3

\frac{3 x ^{2}}{2 x ^{3} - 3}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 2 x ^{3} - 3} \cdot 6 x^{2}

Simplify

\frac{1}{2 2 x ^{3} - 3} \cdot 6 x^{2} : \frac{3 x ^{2}}{2 x ^{3} - 3}

= \frac{3 x ^{2}}{2 x ^{3} - 3}

\frac{\partial}{\partial y} (2 y - 2)

\frac{d}{d x} (e^{x} cos (9 x))

\frac{1}{s ^{2} - 4 s + 5}

x \to 2 lim (\frac{2 x}{x - 2})

\int x^{2} 6 x + 4 d x

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