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

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

Solution steps

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

Simplify

\frac{- 3}{x} : - \frac{3}{x}

= \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}}}

\int x (x + 1)^{2} d x

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

\int \frac{1}{( x + 4 ) ( x - 1 ) ^{2}} d x

\int 5^{s i n (x)} cos (x) d x

n = 1 \sum \infty \frac{2 ^{n}}{e ^{n}}

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)}