What is the derivative of 6(6+(18)/(x^3)) ?

The derivative of 6(6+(18)/(x^3)) is -(324)/(x^4)

What is the first derivative of 6(6+(18)/(x^3)) ?

The first derivative of 6(6+(18)/(x^3)) is -(324)/(x^4)

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derivative of

6 (6 + \frac{18}{x ^{3}})

- \frac{324}{x ^{4}}

Solution steps

\frac{d}{d x} (6 (6 + \frac{18}{x ^{3}}))

Take the constant out:

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

= 6 \frac{d}{d x} (6 + \frac{18}{x ^{3}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 6 (\frac{d}{d x} (6) + \frac{d}{d x} (\frac{18}{x ^{3}}))

\frac{d}{d x} (6) = 0

\frac{d}{d x} (\frac{18}{x ^{3}}) = - \frac{54}{x ^{4}}

= 6 (0 - \frac{54}{x ^{4}})

Simplify

6 (0 - \frac{54}{x ^{4}}) : - \frac{324}{x ^{4}}

= - \frac{324}{x ^{4}}

\frac{\partial}{\partial y} (e^{- x - y})

f (x) = 7 x + 1, at x = 9

n = 0 \sum \infty \frac{3}{n ( n + 3 )}

\int \frac{2 x + 1}{x ^{6} + 18 x ^{4} + 81 x ^{2}} d x

n = 1 \sum \infty \frac{5}{n ^{2} + 9 n + 7}

What is the derivative of 6(6+(18)/(x^3)) ?
The derivative of 6(6+(18)/(x^3)) is -(324)/(x^4)
What is the first derivative of 6(6+(18)/(x^3)) ?
The first derivative of 6(6+(18)/(x^3)) is -(324)/(x^4)