What is the derivative of-5/(x^3) ?

The derivative of-5/(x^3) is (15)/(x^4)

What is the first derivative of-5/(x^3) ?

The first derivative of-5/(x^3) is (15)/(x^4)

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derivative of

- \frac{5}{x ^{3}}

\frac{15}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{5}{x ^{3}})

Take the constant out:

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

= - 5 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 5 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 5 (- 3 x^{- 3 - 1})

Simplify

- 5 (- 3 x^{- 3 - 1}) : \frac{15}{x ^{4}}

= \frac{15}{x ^{4}}

f (x) = 3 x + 5

\int cos^{2} (wt - k x) d x

\int \frac{1}{x ^{2} - 4} d x

x \to 0 + lim (lo g_{2} (x))

\int ln (x^{2} - 1) d x

What is the derivative of-5/(x^3) ?
The derivative of-5/(x^3) is (15)/(x^4)
What is the first derivative of-5/(x^3) ?
The first derivative of-5/(x^3) is (15)/(x^4)