What is the derivative of f(x)= 5/(x^5) ?

The derivative of f(x)= 5/(x^5) is -(25)/(x^6)

What is the first derivative of f(x)= 5/(x^5) ?

The first derivative of f(x)= 5/(x^5) is -(25)/(x^6)

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derivative of

f (x) = \frac{5}{x ^{5}}

- \frac{25}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{5}})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= 5 (- 5 x^{- 5 - 1})

Simplify

5 (- 5 x^{- 5 - 1}) : - \frac{25}{x ^{6}}

= - \frac{25}{x ^{6}}

y^{^{''}} + 2 y^{^{'}} + y = e^{- t} + 9 e^{5 t}

n \to \infty lim (\frac{i}{n})

(1 + z)^{\frac{1}{4}}

\frac{d}{d x} (5 x)

\frac{\partial}{\partial x} (y^{2} - cos (x) y)

What is the derivative of f(x)= 5/(x^5) ?
The derivative of f(x)= 5/(x^5) is -(25)/(x^6)
What is the first derivative of f(x)= 5/(x^5) ?
The first derivative of f(x)= 5/(x^5) is -(25)/(x^6)