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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Simplify

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

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

y^{^{'}} = y - t^{2} + 1

n = 4 \sum \infty \frac{7 ^{n}}{1 4 ^{n}}

\frac{d y}{d x}, x = sec (4 y)

\frac{d}{d x} ((x^{2} + 3) (x^{2} - 2)^{8})

4 sin (x) sin (y) + cos (y) y^{^{'}} = 0

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