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Popular >

(4/x)^'

Solution

(\frac{4}{x})^{^{'}}

Solution

- \frac{4}{x ^{2}}

Solution steps

(\frac{4}{x})^{'}

Take the constant out:

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

= 4 (\frac{1}{x})^{^{'}}

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 4 (- 1 \cdot x^{- 1 - 1})

Simplify

4 (- 1 \cdot x^{- 1 - 1}) : - \frac{4}{x ^{2}}

= - \frac{4}{x ^{2}}

Popular Examples

integral of (e^x-e^{-x})/2

\int \frac{e ^{x} - e ^{- x}}{2} d x

integral of ((3+u))/(-(u^2-1))

\int \frac{( 3 + u )}{- ( u ^{2} - 1 )} d u

y^{^{'}} = \frac{( 6 t ^{2} )}{y}

limit as x approaches a of-6

x \to a lim (- 6)

derivative of-0.5cos(8t)derivative of

- 0.5 cos (8 t)

Frequently Asked Questions (FAQ)

What is the (4/x)^' ?
The (4/x)^' is -4/(x^2)
What is the first (4/x)^' ?
The first (4/x)^' is -4/(x^2)