What is the derivative of (81/(x^4)) ?

The derivative of (81/(x^4)) is -(324)/(x^5)

What is the first derivative of (81/(x^4)) ?

The first derivative of (81/(x^4)) is -(324)/(x^5)

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\frac{d}{d x} (\frac{81}{x ^{4}})

- \frac{324}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{81}{x ^{4}})

Take the constant out:

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

= 81 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 81 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 81 (- 4 x^{- 4 - 1})

Simplify

81 (- 4 x^{- 4 - 1}) : - \frac{324}{x ^{5}}

= - \frac{324}{x ^{5}}

y^{^{'}} - \frac{y}{x} = tan (\frac{y}{x})

\int \frac{x}{( x ^{2} + 4 x + 5 ) ^{\frac{3}{2}}} d x

\frac{d y}{d x} = \frac{( x - 4 )}{( y + 5 )}

a x^{2} + b x + c

\frac{d}{d x} (\frac{6 x}{1 - tan ( x )})

What is the derivative of (81/(x^4)) ?
The derivative of (81/(x^4)) is -(324)/(x^5)
What is the first derivative of (81/(x^4)) ?
The first derivative of (81/(x^4)) is -(324)/(x^5)