What is the derivative of f(x)= 3/(x^7) ?

The derivative of f(x)= 3/(x^7) is -(21)/(x^8)

What is the first derivative of f(x)= 3/(x^7) ?

The first derivative of f(x)= 3/(x^7) is -(21)/(x^8)

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derivative of

f (x) = \frac{3}{x ^{7}}

- \frac{21}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{7}})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 3 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 3 (- 7 x^{- 7 - 1})

Simplify

3 (- 7 x^{- 7 - 1}) : - \frac{21}{x ^{8}}

= - \frac{21}{x ^{8}}

\int 2 t d t

\frac{d}{d x} (\frac{x ^{2} - 1}{x + 2})

\frac{d y}{d x} = x y + x + y + 1

\frac{\partial}{\partial y} (x^{2} \cdot y^{3})

\frac{4 x ^{3} + 2 x + 5}{x}

What is the derivative of f(x)= 3/(x^7) ?
The derivative of f(x)= 3/(x^7) is -(21)/(x^8)
What is the first derivative of f(x)= 3/(x^7) ?
The first derivative of f(x)= 3/(x^7) is -(21)/(x^8)