What is (\partial)/(\partial x)(5/(sqrt(x))) ?

The answer to (\partial)/(\partial x)(5/(sqrt(x))) is -5/(2x^{3/2)}

Popular >

(\partial)/(\partial x)(5/(sqrt(x)))

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

- \frac{5}{2 x ^{\frac{3}{2}}}

Solution steps

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

Take the constant out:

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

= 5 \frac{\partial}{\partial x} (\frac{1}{x})

Apply exponent rule:

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

= 5 \frac{\partial}{\partial x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= 5 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

5 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{5}{2 x ^{\frac{3}{2}}}

= - \frac{5}{2 x ^{\frac{3}{2}}}

e^{2 x} \cdot 2

\int \frac{1}{1 + cosh ( x )} d x

f (x) = lo g_{3} (2 x^{2} + 4 x + 3)

\frac{\partial}{\partial y} (5 x^{3} y^{6})

\frac{y ^{^{'}} + 0.3334 y}{( 20.004 x + 6000 )} = 20

What is (\partial)/(\partial x)(5/(sqrt(x))) ?
The answer to (\partial)/(\partial x)(5/(sqrt(x))) is -5/(2x^{3/2)}