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

The derivative of (sqrt(3)/(2sqrt(x))) is -(sqrt(3))/(4x^{3/2)}

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

The first derivative of (sqrt(3)/(2sqrt(x))) is -(sqrt(3))/(4x^{3/2)}

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

- \frac{3}{4 x ^{\frac{3}{2}}}

Solution steps

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

Take the constant out:

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

= \frac{3}{2} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{3}{2} (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{3}{4 x ^{\frac{3}{2}}}

= - \frac{3}{4 x ^{\frac{3}{2}}}

\frac{\partial}{\partial y} (3 + x ln (x y - 7))

f (x) = 1 + x^{2}

\frac{\partial}{\partial x} (5 arctan (x))

x \to + (- 2) lim (lo g_{2} (8))

\int e^{- x + 1} d x

What is the derivative of (sqrt(3)/(2sqrt(x))) ?
The derivative of (sqrt(3)/(2sqrt(x))) is -(sqrt(3))/(4x^{3/2)}
What is the first derivative of (sqrt(3)/(2sqrt(x))) ?
The first derivative of (sqrt(3)/(2sqrt(x))) is -(sqrt(3))/(4x^{3/2)}