What is the derivative of-(21/(x^4)) ?

The derivative of-(21/(x^4)) is (84)/(x^5)

What is the first derivative of-(21/(x^4)) ?

The first derivative of-(21/(x^4)) is (84)/(x^5)

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\frac{d}{d x} (- \frac{21}{x ^{4}})

\frac{84}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{21}{x ^{4}})

Take the constant out:

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

= - 21 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 21 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 21 (- 4 x^{- 4 - 1})

Simplify

- 21 (- 4 x^{- 4 - 1}) : \frac{84}{x ^{5}}

= \frac{84}{x ^{5}}

\int x^{2} \cdot ln (x) d x

\int \frac{1}{y - 1} d y

h \to 0 lim (\frac{1 0 ^{h} - 1}{h})

\frac{8}{( 8 - x ^{4} ) ^{\frac{3}{2}}}

\frac{d}{d x} (33 arctan (x))

What is the derivative of-(21/(x^4)) ?
The derivative of-(21/(x^4)) is (84)/(x^5)
What is the first derivative of-(21/(x^4)) ?
The first derivative of-(21/(x^4)) is (84)/(x^5)