What is the derivative of (50/(x^7)) ?

The derivative of (50/(x^7)) is -(350)/(x^8)

What is the first derivative of (50/(x^7)) ?

The first derivative of (50/(x^7)) is -(350)/(x^8)

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\frac{d}{d x} (\frac{50}{x ^{7}})

- \frac{350}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{50}{x ^{7}})

Take the constant out:

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

= 50 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 50 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 50 (- 7 x^{- 7 - 1})

Simplify

50 (- 7 x^{- 7 - 1}) : - \frac{350}{x ^{8}}

= - \frac{350}{x ^{8}}

\frac{d y}{d x} (x 16 - x) = 0

4 e^{- 7 t} cos (9 t)

\int_{- \infty}^{0} \frac{1}{2 - 9 x} d x

\frac{d}{d x} (3 x^{2} + 9 x + 2)

What is the derivative of (50/(x^7)) ?
The derivative of (50/(x^7)) is -(350)/(x^8)
What is the first derivative of (50/(x^7)) ?
The first derivative of (50/(x^7)) is -(350)/(x^8)