What is the derivative of (54/(x^4)) ?

The derivative of (54/(x^4)) is -(216)/(x^5)

What is the first derivative of (54/(x^4)) ?

The first derivative of (54/(x^4)) is -(216)/(x^5)

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\frac{d}{d x} (\frac{54}{x ^{4}})

- \frac{216}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{54}{x ^{4}})

Take the constant out:

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

= 54 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 54 (- 4 x^{- 4 - 1})

Simplify

54 (- 4 x^{- 4 - 1}) : - \frac{216}{x ^{5}}

= - \frac{216}{x ^{5}}

\int 2 x + 4 x^{2} - \frac{5}{2} d x

\int \frac{x ^{2}}{2 ( 2 - x )} d x

x \to 0 lim (\frac{- 1}{14 x})

y = 6 x^{2} sin (x) tan (x)

x \to 2 lim (\frac{2 x + 4}{x - 2})

What is the derivative of (54/(x^4)) ?
The derivative of (54/(x^4)) is -(216)/(x^5)
What is the first derivative of (54/(x^4)) ?
The first derivative of (54/(x^4)) is -(216)/(x^5)