What is the derivative of-(12)/(x^5) ?

The derivative of-(12)/(x^5) is (60)/(x^6)

What is the first derivative of-(12)/(x^5) ?

The first derivative of-(12)/(x^5) is (60)/(x^6)

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derivative of

- \frac{12}{x ^{5}}

\frac{60}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{12}{x ^{5}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 12 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 12 (- 5 x^{- 5 - 1})

Simplify

- 12 (- 5 x^{- 5 - 1}) : \frac{60}{x ^{6}}

= \frac{60}{x ^{6}}

f (x) = - 3 x^{2} - 4 x

\frac{d}{d y} (\frac{1 - cos ( y )}{1 - cos ( 2 y )})

\frac{150 t}{t + 3}

\int t 9 t^{2} + 4 d t

x^{2}, x^{4} - 3 x^{2}, - 2, 2

What is the derivative of-(12)/(x^5) ?
The derivative of-(12)/(x^5) is (60)/(x^6)
What is the first derivative of-(12)/(x^5) ?
The first derivative of-(12)/(x^5) is (60)/(x^6)