What is (\partial)/(\partial h)(m/(h^2)) ?

The answer to (\partial)/(\partial h)(m/(h^2)) is -(2m)/(h^3)

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(\partial)/(\partial h)(m/(h^2))

\frac{\partial}{\partial h} (\frac{m}{h ^{2}})

- \frac{2 m}{h ^{3}}

Solution steps

\frac{\partial}{\partial h} (\frac{m}{h ^{2}})

Treat

m

as a constant

Take the constant out:

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

= m \frac{\partial}{\partial h} (\frac{1}{h ^{2}})

Apply exponent rule:

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

= m \frac{\partial}{\partial h} (h^{- 2})

Apply the Power Rule:

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

= m (- 2 h^{- 2 - 1})

Simplify

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

= - \frac{2 m}{h ^{3}}

9 x + 2 x^{2}

\frac{d}{d x} (x^{- 12})

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

y (2 y^{2} - 3 x^{2}) d x + (2 x^{3}) d y = 0

x \to - 1 + lim (\frac{1}{1 + x})

What is (\partial)/(\partial h)(m/(h^2)) ?
The answer to (\partial)/(\partial h)(m/(h^2)) is -(2m)/(h^3)