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Popular >

(3/x)^'

Solution

(\frac{3}{x})^{^{'}}

Solution

- \frac{3}{x ^{2}}

Solution steps

(\frac{3}{x})^{'}

Take the constant out:

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

= 3 (\frac{1}{x})^{^{'}}

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 3 (- 1 \cdot x^{- 1 - 1})

Simplify

3 (- 1 \cdot x^{- 1 - 1}) : - \frac{3}{x ^{2}}

= - \frac{3}{x ^{2}}

Popular Examples

derivative of 5x^2ln(x)

\frac{d}{d x} (5 x^{2} ln (x))

tangent of (x^3-16x)^{14}tangent of

(x^{3} - 16 x)^{14}

integral of 36x^2

\int 36 x^{2} d x

integral of (9x)/((7-x^2)^3)

\int \frac{9 x}{( 7 - x ^{2} ) ^{3}} d x

limit as x approaches 0 of 1+e^{1/x}

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

Frequently Asked Questions (FAQ)

What is the (3/x)^' ?
The (3/x)^' is -3/(x^2)
What is the first (3/x)^' ?
The first (3/x)^' is -3/(x^2)