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

The derivative of-5/(x^5) is (25)/(x^6)

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

The first derivative of-5/(x^5) is (25)/(x^6)

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derivative of

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

\frac{25}{x ^{6}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

- 5 (- 5 x^{- 5 - 1}) : \frac{25}{x ^{6}}

= \frac{25}{x ^{6}}

y^{^{''}} + 25 y = cos (4 t)

x \to 0 lim (2 x cot (3 x))

n = 1 \sum \infty \frac{( n )}{2 ^{n}}

(x + 2)^{2} + (y - 3)^{2} = 37, (- 1, - 3)

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

What is the derivative of-5/(x^5) ?
The derivative of-5/(x^5) is (25)/(x^6)
What is the first derivative of-5/(x^5) ?
The first derivative of-5/(x^5) is (25)/(x^6)