What is the derivative of-(12)/(x^6) ?

The derivative of-(12)/(x^6) is (72)/(x^7)

What is the first derivative of-(12)/(x^6) ?

The first derivative of-(12)/(x^6) is (72)/(x^7)

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derivative of

- \frac{12}{x ^{6}}

\frac{72}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{12}{x ^{6}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 12 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 12 (- 6 x^{- 6 - 1})

Simplify

- 12 (- 6 x^{- 6 - 1}) : \frac{72}{x ^{7}}

= \frac{72}{x ^{7}}

cos (4 x^{2})

\int \frac{( x + 9 )}{x} d x

\int \frac{1}{3 - 3 x} d x

x y y^{^{'}} = 1 + y^{2}

f (x) = 0.882 x^{0.842}

What is the derivative of-(12)/(x^6) ?
The derivative of-(12)/(x^6) is (72)/(x^7)
What is the first derivative of-(12)/(x^6) ?
The first derivative of-(12)/(x^6) is (72)/(x^7)