What is the derivative of (30)/(x^7) ?

The derivative of (30)/(x^7) is -(210)/(x^8)

What is the first derivative of (30)/(x^7) ?

The first derivative of (30)/(x^7) is -(210)/(x^8)

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derivative of

\frac{30}{x ^{7}}

- \frac{210}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{30}{x ^{7}})

Take the constant out:

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

= 30 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 30 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 30 (- 7 x^{- 7 - 1})

Simplify

30 (- 7 x^{- 7 - 1}) : - \frac{210}{x ^{8}}

= - \frac{210}{x ^{8}}

x \to 0 + lim ((1 + x)^{\frac{3}{x}})

\frac{\partial}{\partial x} (e^{x} cos (x y))

\int_{1}^{6} f (\frac{1}{2} x) d x

\frac{d}{d x} (\frac{( 3 x ^{2} - 2 x - 3 )}{( x ^{2} + 1 ) ^{2}})

y^{^{'}} = x - x y

What is the derivative of (30)/(x^7) ?
The derivative of (30)/(x^7) is -(210)/(x^8)
What is the first derivative of (30)/(x^7) ?
The first derivative of (30)/(x^7) is -(210)/(x^8)