What is (\partial)/(\partial x)(3sqrt(x)) ?

The answer to (\partial)/(\partial x)(3sqrt(x)) is 3/(2sqrt(x))

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(\partial)/(\partial x)(3sqrt(x))

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

\frac{3}{2 x}

Solution steps

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

Take the constant out:

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

= 3 \frac{\partial}{\partial x} (x)

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{3}{2 x}

\frac{\partial}{\partial x} (x y cos (3 yz))

\int (1 - cos (\frac{x}{2}))^{2} sin (\frac{x}{2}) d x

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

y = lo g_{5} (2) x^{2}

n = 1 \sum \infty 7^{n + 1} x^{n}

What is (\partial)/(\partial x)(3sqrt(x)) ?
The answer to (\partial)/(\partial x)(3sqrt(x)) is 3/(2sqrt(x))