What is the derivative of-(11/(x^6)) ?

The derivative of-(11/(x^6)) is (66)/(x^7)

What is the first derivative of-(11/(x^6)) ?

The first derivative of-(11/(x^6)) is (66)/(x^7)

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\frac{d}{d x} (- \frac{11}{x ^{6}})

\frac{66}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{11}{x ^{6}})

Take the constant out:

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

= - 11 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 11 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 11 (- 6 x^{- 6 - 1})

Simplify

- 11 (- 6 x^{- 6 - 1}) : \frac{66}{x ^{7}}

= \frac{66}{x ^{7}}

f (x) = 3 x - 4 x^{\frac{9}{10}}

\int_{2}^{\infty} y e^{- 6 y} d y

y = \frac{π}{3} (l^{2} h - h^{3})

\frac{d}{d x} (\frac{1}{2 x ^{\frac{3}{2}}})

x^{3}, 2

What is the derivative of-(11/(x^6)) ?
The derivative of-(11/(x^6)) is (66)/(x^7)
What is the first derivative of-(11/(x^6)) ?
The first derivative of-(11/(x^6)) is (66)/(x^7)