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

The derivative of 6/(x^7) is -(42)/(x^8)

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

The first derivative of 6/(x^7) is -(42)/(x^8)

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

- \frac{42}{x ^{8}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

6 (- 7 x^{- 7 - 1}) : - \frac{42}{x ^{8}}

= - \frac{42}{x ^{8}}

h \to 1 lim (\frac{h ^{3} - 1}{h - 1})

x \to 3 lim (- 3 x^{3} + 9 x + 5 x - 5)

x y^{^{'}} + 2 y = sin (x)

\frac{\partial}{\partial y} (8 y - 4 x)

\int_{0}^{1} x^{\frac{3}{2}} d x

What is the derivative of 6/(x^7) ?
The derivative of 6/(x^7) is -(42)/(x^8)
What is the first derivative of 6/(x^7) ?
The first derivative of 6/(x^7) is -(42)/(x^8)