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

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

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

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

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derivative of

\frac{3}{x}

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d N}{d t} + N = Nt e^{t + 6}

\frac{d}{d x} (\frac{x - 6}{x + 6})

\int \frac{x ^{3}}{a} - \frac{a}{x ^{2}} d x

y = e^{x}, y = e^{2 x}, x = 0, x = ln (4)

\frac{\partial}{\partial y} (y^{x} - ln (x^{3} y + 6 x))

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