What is the derivative of x^2+c/(x^2) ?

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

What is the first derivative of x^2+c/(x^2) ?

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

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\frac{d}{d x} (x^{2} + \frac{c}{x ^{2}})

2 x - \frac{2 c}{x ^{3}}

Solution steps

\frac{d}{d x} (x^{2} + \frac{c}{x ^{2}})

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x - \frac{2 c}{x ^{3}}

\frac{\partial}{\partial x} (x^{2} + y^{2} - 4)

\int \frac{x ^{2}}{361 - x ^{2}} d x

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{- 9} e^{3 t}

\int \frac{4 x + 2}{x ^{2} + x + 5} d x

5 x - x^{2} (1.4)

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