What is the derivative of 4/(x^7) ?

The derivative of 4/(x^7) is -(28)/(x^8)

What is the first derivative of 4/(x^7) ?

The first derivative of 4/(x^7) is -(28)/(x^8)

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derivative of

\frac{4}{x ^{7}}

- \frac{28}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{7}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 4 (- 7 x^{- 7 - 1})

Simplify

4 (- 7 x^{- 7 - 1}) : - \frac{28}{x ^{8}}

= - \frac{28}{x ^{8}}

18 - 2 x

f (x) = 2^{x}

x \to - \infty lim (\frac{6}{( 1 + e ^{- x} )})

x \to 7 lim (\frac{x ^{3} - 4 x ^{2} - 19 x - 14}{x ^{2} - 8 x - 7})

y^{^{''}} + 2 y^{^{'}} + y = x^{2} - 2 x + 1

What is the derivative of 4/(x^7) ?
The derivative of 4/(x^7) is -(28)/(x^8)
What is the first derivative of 4/(x^7) ?
The first derivative of 4/(x^7) is -(28)/(x^8)