What is the derivative of m/x ?

The derivative of m/x is -m/(x^2)

What is the first derivative of m/x ?

The first derivative of m/x is -m/(x^2)

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\frac{d}{d x} (\frac{m}{x})

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

Solution steps

\frac{d}{d x} (\frac{m}{x})

Take the constant out:

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

= m \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

f (t) = \frac{2 t}{t ^{2} + 1}

f (x) = \frac{1}{x ^{2}}, at x = 5

f (x) = 3 x^{2} - 4 x, (1, - 1)

- 3 cos (x)

y = tan (x), y = 2 sin (x)