What is (\partial}{\partial x}(\frac{10)/x) ?

The answer to (\partial}{\partial x}(\frac{10)/x) is -(10)/(x^2)

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(\partial}{\partial x}(\frac{10)/x)

\frac{\partial}{\partial x} (\frac{10}{x})

- \frac{10}{x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{10}{x})

Take the constant out:

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

= 10 \frac{\partial}{\partial x} (\frac{1}{x})

Apply exponent rule:

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

= 10 \frac{\partial}{\partial x} (x^{- 1})

Apply the Power Rule:

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

= 10 (- 1 \cdot x^{- 1 - 1})

Simplify

10 (- 1 \cdot x^{- 1 - 1}) : - \frac{10}{x ^{2}}

= - \frac{10}{x ^{2}}

f (x) = \frac{2 x}{x + 1}, at x = 1

\frac{d y}{d x} + 4 x y^{2} = 0

\int \frac{4 x ^{3}}{x ^{4} + 1} d x

\frac{( 2 t + 1 ) ^{\frac{3}{2}}}{3}

\frac{d y}{d x} = 2^{x} ln (2) + \frac{2}{x ^{2} + 1}

What is (\partial}{\partial x}(\frac{10)/x) ?
The answer to (\partial}{\partial x}(\frac{10)/x) is -(10)/(x^2)