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{\partial}{\partial x} (3 y + 7)

\int (\frac{x ^{2}}{x}) d x

\int e^{x} 9 + e^{x} d x

\frac{d}{d x} (2^{x^{2} c o t (3 x)})

\frac{d}{d x} (x sin (e^{x}))

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)