What is the derivative of-(14/(x^6)) ?

The derivative of-(14/(x^6)) is (84)/(x^7)

What is the first derivative of-(14/(x^6)) ?

The first derivative of-(14/(x^6)) is (84)/(x^7)

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\frac{d}{d x} (- \frac{14}{x ^{6}})

\frac{84}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{14}{x ^{6}})

Take the constant out:

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

= - 14 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 14 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 14 (- 6 x^{- 6 - 1})

Simplify

- 14 (- 6 x^{- 6 - 1}) : \frac{84}{x ^{7}}

= \frac{84}{x ^{7}}

4 (2 t - 5)^{2}

\int x^{2} \cdot x^{2} - 9 d x

\frac{d P}{d t} = 0.5 (P) (1 - \frac{P}{1000})

\frac{d y}{d x} = \frac{3 sec ( y )}{( x + 1 ) ^{2}}

f (x) = \frac{4 x}{( x ^{2} + 1 ) ^{2}}

What is the derivative of-(14/(x^6)) ?
The derivative of-(14/(x^6)) is (84)/(x^7)
What is the first derivative of-(14/(x^6)) ?
The first derivative of-(14/(x^6)) is (84)/(x^7)