What is (\partial)/(\partial x)(M/(2px)) ?

The answer to (\partial)/(\partial x)(M/(2px)) is -M/(2px^2)

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(\partial)/(\partial x)(M/(2px))

\frac{\partial}{\partial x} (\frac{M}{2 p x})

- \frac{M}{2 p x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{M}{2 p x})

Treat

p, M

as a constant

Take the constant out:

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

= \frac{M}{2 p} \frac{\partial}{\partial x} (\frac{1}{x})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= \frac{M}{2 p} (- 1 \cdot x^{- 1 - 1})

Simplify

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

= - \frac{M}{2 p x ^{2}}

x \to 3 lim (3 x^{4} + 2 x^{2} - 5)

f (x) = (- 3 x^{2} + 2 x + 4)^{12}

\frac{d}{d x} (1 - 169 x^{2} arccos (13 x))

\frac{9 x ^{2} + 9 x}{8 x}

\int \frac{1}{2 - t} + \frac{1}{2 + t} d t

What is (\partial)/(\partial x)(M/(2px)) ?
The answer to (\partial)/(\partial x)(M/(2px)) is -M/(2px^2)