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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 x) = 3

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

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

Simplify

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

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\int_{0}^{0.6} 2500 x d x

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x \to 0 + lim (\frac{( ln ( x ) )}{x})

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\frac{d}{d x} (\frac{3}{16 + x ^{4}})

(\partial)/(\partial θ)(2cos(θ))

\frac{\partial}{\partial θ} (2 cos (θ))

Frequently Asked Questions (FAQ)

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