What is the derivative of f(x)= 5/(x^4) ?

The derivative of f(x)= 5/(x^4) is -(20)/(x^5)

What is the first derivative of f(x)= 5/(x^4) ?

The first derivative of f(x)= 5/(x^4) is -(20)/(x^5)

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derivative of

f (x) = \frac{5}{x ^{4}}

- \frac{20}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{4}})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 5 (- 4 x^{- 4 - 1})

Simplify

5 (- 4 x^{- 4 - 1}) : - \frac{20}{x ^{5}}

= - \frac{20}{x ^{5}}

\frac{d}{d x} (4 - 2 sin (2 x - \frac{π}{4}))

\frac{\partial}{\partial x} (f (x) g (x))

\frac{\partial}{\partial y} (x^{\frac{1}{4}} y^{\frac{3}{4}})

\int_{- \infty}^{0} \frac{1}{4 - 8 x} d x

y^{^{'}} = \frac{x}{( 1 + 2 y )}, y (- 1) = 0

What is the derivative of f(x)= 5/(x^4) ?
The derivative of f(x)= 5/(x^4) is -(20)/(x^5)
What is the first derivative of f(x)= 5/(x^4) ?
The first derivative of f(x)= 5/(x^4) is -(20)/(x^5)