What is the derivative of 7/(x^2) ?

The derivative of 7/(x^2) is -(14)/(x^3)

What is the first derivative of 7/(x^2) ?

The first derivative of 7/(x^2) is -(14)/(x^3)

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derivative of

\frac{7}{x ^{2}}

- \frac{14}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{7}{x ^{2}})

Take the constant out:

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

= 7 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 7 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 7 (- 2 x^{- 2 - 1})

Simplify

7 (- 2 x^{- 2 - 1}) : - \frac{14}{x ^{3}}

= - \frac{14}{x ^{3}}

x \to \infty lim (\frac{4 ^{x}}{5 ^{x + 1}})

\int \frac{2 x + 3}{x ( x - 4 ) ^{2} ( x ^{2} + 2 )} d x

\int (x^{2} - 9 x + 2) d x

\frac{d ^{2}}{d x ^{2}} y + 25 y = 0

\int \frac{1}{( x - 7 ) ( x + 1 )} d x

What is the derivative of 7/(x^2) ?
The derivative of 7/(x^2) is -(14)/(x^3)
What is the first derivative of 7/(x^2) ?
The first derivative of 7/(x^2) is -(14)/(x^3)