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

The derivative of 7/(x^7) is -(49)/(x^8)

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

The first derivative of 7/(x^7) is -(49)/(x^8)

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

- \frac{49}{x ^{8}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

7 (- 7 x^{- 7 - 1}) : - \frac{49}{x ^{8}}

= - \frac{49}{x ^{8}}

\int_{1}^{8} x^{- \frac{8}{3}} d x

y = x^{2} + 9, y = 10 + 2 x

x \to 3 lim (x^{2} - 9)

\int 3 cos (t) - 2 sin (t) d t

e^{4 t} (t^{2} + 3 t + 5)

What is the derivative of 7/(x^7) ?
The derivative of 7/(x^7) is -(49)/(x^8)
What is the first derivative of 7/(x^7) ?
The first derivative of 7/(x^7) is -(49)/(x^8)