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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

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

= 6 x - \frac{2}{x ^{2}} - (- \frac{2}{x ^{3}})

Simplify

= 6 x - \frac{2}{x ^{2}} + \frac{2}{x ^{3}}

Graph

Popular Examples

integral from 1 to e of (-2ln(x))/(x^2)

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

integral of x/(1+sin(x))

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

tangent of f(x)= 1/5 x^{10}-1/3 x^6-x+9 tangent of

f (x) = \frac{1}{5} x^{10} - \frac{1}{3} x^{6} - x + 9

integral of (2y)/((2+3y^2)^3)

\int \frac{2 y}{( 2 + 3 y ^{2} ) ^{3}} d y

(dy)/(dt)=y-y^2

\frac{d y}{d t} = y - y^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 3x^2+2/x-1/(x^2) ?
The derivative of 3x^2+2/x-1/(x^2) is 6x-2/(x^2)+2/(x^3)
What is the first derivative of 3x^2+2/x-1/(x^2) ?
The first derivative of 3x^2+2/x-1/(x^2) is 6x-2/(x^2)+2/(x^3)