What is the derivative of y=-(14)/(x^5) ?

The derivative of y=-(14)/(x^5) is (70)/(x^6)

What is the first derivative of y=-(14)/(x^5) ?

The first derivative of y=-(14)/(x^5) is (70)/(x^6)

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derivative of

y = - \frac{14}{x ^{5}}

\frac{70}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{14}{x ^{5}})

Take the constant out:

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

= - 14 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 14 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 14 (- 5 x^{- 5 - 1})

Simplify

- 14 (- 5 x^{- 5 - 1}) : \frac{70}{x ^{6}}

= \frac{70}{x ^{6}}

\frac{\partial}{\partial x} (6 x^{3} cos (6 x^{2} y))

y = x^{2}, y = 3

\int_{0}^{\frac{π}{4}} sec^{2} (x) d x

\frac{d}{d s} (ln (s + \frac{s ^{2} + 4}{2}) 2)

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

What is the derivative of y=-(14)/(x^5) ?
The derivative of y=-(14)/(x^5) is (70)/(x^6)
What is the first derivative of y=-(14)/(x^5) ?
The first derivative of y=-(14)/(x^5) is (70)/(x^6)