What is the derivative of (x-2/x ^4) ?

The derivative of (x-2/x ^4) is 4(x-2/x)^3(1+2/(x^2))

What is the first derivative of (x-2/x ^4) ?

The first derivative of (x-2/x ^4) is 4(x-2/x)^3(1+2/(x^2))

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\frac{d}{d x} ((x - \frac{2}{x})^{4})

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

Solution steps

\frac{d}{d x} ((x - \frac{2}{x})^{4})

Apply the chain rule:

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

= 4 (x - \frac{2}{x})^{3} \frac{d}{d x} (x - \frac{2}{x})

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

= 4 (x - \frac{2}{x})^{3} (1 + \frac{2}{x ^{2}})

f (x) = 2 x^{2}, at x = 0

\int 4 x^{- 3} d x

\int \frac{1}{( x + 1 ) ( x - 1 )} d x

f (x) = (2 x - 4) (2 x^{3} - x^{2} + 1)

y = \frac{1}{( 1 + x ^{2} )}

What is the derivative of (x-2/x ^4) ?
The derivative of (x-2/x ^4) is 4(x-2/x)^3(1+2/(x^2))
What is the first derivative of (x-2/x ^4) ?
The first derivative of (x-2/x ^4) is 4(x-2/x)^3(1+2/(x^2))