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Popular >

derivative of 2/(2x)

Solution

\frac{d}{d x} (\frac{2}{2 x})

Solution

- \frac{1}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{2}{2 x})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{x ^{2}}

Popular Examples

derivative of 2sin(x-sqrt(3))

\frac{d}{d x} (2 sin (x) - 3)

slope of y= 6/((x-1)^2),\at slope

y = \frac{6}{( x - 1 ) ^{2}}, at

derivative of (sec(4x+tan(2x))^5)

\frac{d}{d x} ((sec (4 x) + tan (2 x))^{5})

derivative of (x^2+3x(x-2)(x^2+1))

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

area y=2x-x^2,(0,2)area

y = 2 x - x^{2}, (0, 2)

Frequently Asked Questions (FAQ)

What is the derivative of 2/(2x) ?
The derivative of 2/(2x) is -1/(x^2)
What is the first derivative of 2/(2x) ?
The first derivative of 2/(2x) is -1/(x^2)