What is the derivative of 7/(x^6) ?

The derivative of 7/(x^6) is -(42)/(x^7)

What is the first derivative of 7/(x^6) ?

The first derivative of 7/(x^6) is -(42)/(x^7)

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\frac{d}{d x} (\frac{7}{x ^{6}})

- \frac{42}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{7}{x ^{6}})

Take the constant out:

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

= 7 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= 7 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= 7 (- 6 x^{- 6 - 1})

Simplify

7 (- 6 x^{- 6 - 1}) : - \frac{42}{x ^{7}}

= - \frac{42}{x ^{7}}

x \to 0 lim (\frac{9 ^{x} - 4 ^{x}}{x})

f (x) = ln (x^{9})

\int x y e^{x y} d y

n = 0 \sum \infty \frac{1}{n ^{n}}

\frac{\partial}{\partial x} (e^{- t} cos (π) x)

What is the derivative of 7/(x^6) ?
The derivative of 7/(x^6) is -(42)/(x^7)
What is the first derivative of 7/(x^6) ?
The first derivative of 7/(x^6) is -(42)/(x^7)