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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4 x) = 4

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

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

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

Simplify

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

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\int \frac{1}{2 x} cos (2 x) d x

x \to 8 - lim (\frac{x - 9}{x - 8})

3 x, 7 x^{2}

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

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