What is the derivative of-(18)/(x^3) ?

The derivative of-(18)/(x^3) is (54)/(x^4)

What is the first derivative of-(18)/(x^3) ?

The first derivative of-(18)/(x^3) is (54)/(x^4)

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derivative of

- \frac{18}{x ^{3}}

\frac{54}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{18}{x ^{3}})

Take the constant out:

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

= - 18 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 18 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 18 (- 3 x^{- 3 - 1})

Simplify

- 18 (- 3 x^{- 3 - 1}) : \frac{54}{x ^{4}}

= \frac{54}{x ^{4}}

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

\int_{- 1}^{3} x - 2 x^{2} d x

\int \frac{( e ^{2 x} )}{1 + e ^{4 x}} d x

\int 6 sin^{3} (4 x) cos^{3} (4 x) d x

\frac{d y}{d x} = \frac{x ^{3} - 2 y}{x}

What is the derivative of-(18)/(x^3) ?
The derivative of-(18)/(x^3) is (54)/(x^4)
What is the first derivative of-(18)/(x^3) ?
The first derivative of-(18)/(x^3) is (54)/(x^4)