What is the derivative of 2/3 x^{3/2} ?

The derivative of 2/3 x^{3/2} is x^{1/2}

What is the first derivative of 2/3 x^{3/2} ?

The first derivative of 2/3 x^{3/2} is x^{1/2}

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derivative of

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

x^{\frac{1}{2}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= x^{\frac{1}{2}}

\frac{3}{s ( s + 2 )}

\int \frac{1}{8 x} d x

y^{^{''}} - 5 y^{^{'}} + 6 y = 36 t

x \frac{d}{d x} [ln (y)] = 1

y = x, y = 4 x, y = - x + 2

What is the derivative of 2/3 x^{3/2} ?
The derivative of 2/3 x^{3/2} is x^{1/2}
What is the first derivative of 2/3 x^{3/2} ?
The first derivative of 2/3 x^{3/2} is x^{1/2}