What is the derivative of a/(bx^2) ?

The derivative of a/(bx^2) is -(2a)/(bx^3)

What is the first derivative of a/(bx^2) ?

The first derivative of a/(bx^2) is -(2a)/(bx^3)

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

2 x

\frac{( s - 10 )}{( s ^{2} - 2 s - 3 )}

\frac{d y}{d x}, x^{6} - 5 x y^{3} = 9 x y

x \to 0 lim (arctan (\frac{1}{x}))

\int \frac{x ^{2} + 2}{x ^{3} ( x + 1 ) ^{3}} d x

What is the derivative of a/(bx^2) ?
The derivative of a/(bx^2) is -(2a)/(bx^3)
What is the first derivative of a/(bx^2) ?
The first derivative of a/(bx^2) is -(2a)/(bx^3)