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Popular >

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

Solution

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

Solution

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}}

Popular Examples

integral of ln(x)(sqrt(1-(ln(x))^2))/x

\int ln (x) \frac{1 - ( ln ( x ) ) ^{2}}{x} d x

integral of 1/(sqrt(2x))cos(sqrt(2x))

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

limit as x approaches 8-of (x-9)/(x-8)

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

area 3x,7x^2 area

3 x, 7 x^{2}

derivative of 3^{x^4-2x^2}

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

Frequently Asked Questions (FAQ)

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)