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)

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}}

d er i v a t i v e ln (6 x)

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

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

3 x^{2} y^{2} d x + (2 x^{3} y + 4 y^{3}) d y = 0

\int (x + 3) (x - 5) 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)