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

The derivative of 4/(x^5) is -(20)/(x^6)

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

The first derivative of 4/(x^5) is -(20)/(x^6)

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derivative of

\frac{4}{x ^{5}}

- \frac{20}{x ^{6}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

4 (- 5 x^{- 5 - 1}) : - \frac{20}{x ^{6}}

= - \frac{20}{x ^{6}}

\int csc (π) x cot (π) x d x

7 x - 6 x (1.1)

x \to + 0 lim (\frac{e ^{9 x} - 1}{x})

\int_{0}^{5} 2 π x (5 x - x^{2}) d x

\int_{3}^{4} - \frac{1}{( x - 3 ) ^{3}} d x

What is the derivative of 4/(x^5) ?
The derivative of 4/(x^5) is -(20)/(x^6)
What is the first derivative of 4/(x^5) ?
The first derivative of 4/(x^5) is -(20)/(x^6)