What is the derivative of f(x)= 1/(x^7) ?

The derivative of f(x)= 1/(x^7) is -7/(x^8)

What is the first derivative of f(x)= 1/(x^7) ?

The first derivative of f(x)= 1/(x^7) is -7/(x^8)

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derivative of

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

- \frac{7}{x ^{8}}

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 7 x^{- 7 - 1}

Simplify

- 7 x^{- 7 - 1} : - \frac{7}{x ^{8}}

= - \frac{7}{x ^{8}}

f (t) = 2 t^{2}

f (t) = (3 t + 1)^{\frac{2}{3}}

\frac{d}{d x} (5^{s i n (x)})

\frac{d}{d x} (x^{2} cos^{2} (x))

\frac{d y}{d t} = 2 t

What is the derivative of f(x)= 1/(x^7) ?
The derivative of f(x)= 1/(x^7) is -7/(x^8)
What is the first derivative of f(x)= 1/(x^7) ?
The first derivative of f(x)= 1/(x^7) is -7/(x^8)