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

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

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

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

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derivative of

2 x^{3}

3 x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply radical rule:

n a^{m} = a^{\frac{m}{n}}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= 3 x

\frac{d}{d x} (e^{x t})

\frac{3}{x}, 12 x, \frac{1}{12 x}

\int_{0}^{2} 8 x d x

\int_{2}^{3} x (x - 2) (x + 2) d x

x^{2} - 10 x + 4, (0)

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