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

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

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

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

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derivative of

f (x) = - \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}{d x} (2 \cdot tan (x))

ln (6 x)

\frac{\partial}{\partial c} (16 d c^{2})

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

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

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