What is the derivative of x^2+5-3x^{-2} ?

The derivative of x^2+5-3x^{-2} is 2x+6/(x^3)

What is the first derivative of x^2+5-3x^{-2} ?

The first derivative of x^2+5-3x^{-2} is 2x+6/(x^3)

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\frac{d}{d x} (x^{2} + 5 - 3 x^{- 2})

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

Solution steps

\frac{d}{d x} (x^{2} + 5 - 3 x^{- 2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (5) - \frac{d}{d x} (3 x^{- 2})

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

\frac{d}{d x} (5) = 0

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

= 2 x + 0 - (- \frac{6}{x ^{3}})

Simplify

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

\int x^{5} cos (y^{4}) d x

\frac{\partial}{\partial u} (v cos (u))

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

\frac{d}{d x} (\frac{4}{x ^{4}} - 5 3 x)

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

What is the derivative of x^2+5-3x^{-2} ?
The derivative of x^2+5-3x^{-2} is 2x+6/(x^3)
What is the first derivative of x^2+5-3x^{-2} ?
The first derivative of x^2+5-3x^{-2} is 2x+6/(x^3)