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}}

\frac{9 - sec ( x )}{tan ( x )}

\frac{\partial}{\partial t} (\frac{3 r + s}{t})

y^{^{''}} - 2 y^{^{'}} + 6 y = 0

\int 4 sin^{2} (x) cos^{3} (x) d x

\frac{d y}{d x} = tan (y)

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)