What is the derivative of-c/(x^2) ?

The derivative of-c/(x^2) is (2c)/(x^3)

What is the first derivative of-c/(x^2) ?

The first derivative of-c/(x^2) is (2c)/(x^3)

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\frac{d}{d x} (- \frac{c}{x ^{2}})

\frac{2 c}{x ^{3}}

Solution steps

\frac{d}{d x} (- \frac{c}{x ^{2}})

Take the constant out:

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

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

Apply exponent rule:

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

= - c \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - c (- 2 x^{- 2 - 1})

Simplify

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

= \frac{2 c}{x ^{3}}

\frac{2 x + 1}{x + 2}

3 t^{4} e^{- 2 t}

x^{5}, e^{3} x^{2}

\frac{2 s - 3}{s ^{2} + 4}

y^{^{'}} + x y = 1 x y^{3}

What is the derivative of-c/(x^2) ?
The derivative of-c/(x^2) is (2c)/(x^3)
What is the first derivative of-c/(x^2) ?
The first derivative of-c/(x^2) is (2c)/(x^3)