What is the derivative of 6x^{1/2} ?

The derivative of 6x^{1/2} is 3/(x^{1/2)}

What is the first derivative of 6x^{1/2} ?

The first derivative of 6x^{1/2} is 3/(x^{1/2)}

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derivative of

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

\frac{3}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (6 x^{\frac{1}{2}})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

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

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

\int_{0}^{6} (1497.6) (x) d x

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

\int x - 2 d x

\frac{d y}{d x} = y (4 x^{2} + 6)

y^{^{''}} - 6 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 5

What is the derivative of 6x^{1/2} ?
The derivative of 6x^{1/2} is 3/(x^{1/2)}
What is the first derivative of 6x^{1/2} ?
The first derivative of 6x^{1/2} is 3/(x^{1/2)}