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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d y}{d x} = \frac{cos ( 7 x )}{e ^{7 y}}, y (0) = 0

x \to 1 + lim (x^{2} - 2)

y^{^{''}} - 6 y + 13 y = 0

n = 1 \sum \infty 2 n - 1

\int \frac{2 x ^{3} - 4 x - 8}{( x ^{2} - x ) ( x ^{2} + 4 )} d x

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