What is the derivative of-(11/(x^5)) ?

The derivative of-(11/(x^5)) is (55)/(x^6)

What is the first derivative of-(11/(x^5)) ?

The first derivative of-(11/(x^5)) is (55)/(x^6)

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\frac{d}{d x} (- \frac{11}{x ^{5}})

\frac{55}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{11}{x ^{5}})

Take the constant out:

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

= - 11 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 11 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 11 (- 5 x^{- 5 - 1})

Simplify

- 11 (- 5 x^{- 5 - 1}) : \frac{55}{x ^{6}}

= \frac{55}{x ^{6}}

\int x e^{6 x} d x

\int x \cdot sin (5 x) d x

x \frac{d y}{d x} + y = x^{2} sin (x)

\int_{- π}^{π} sin^{2} (x co) s^{3} x d x

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

What is the derivative of-(11/(x^5)) ?
The derivative of-(11/(x^5)) is (55)/(x^6)
What is the first derivative of-(11/(x^5)) ?
The first derivative of-(11/(x^5)) is (55)/(x^6)