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Popular >

derivative of f(x)=x^2+5-3x^{-2}

Solution

derivative of

f (x) = x^{2} + 5 - 3 x^{- 2}

Solution

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}}

Popular Examples

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x \to \infty lim ((\frac{13 x}{13 x + 3})^{5 x})

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\int \frac{2 x - 4}{( x ^{2} - 4 x + 7 ) ^{2}} d x

laplacetransform (-2)^{t-1}laplace transform

(- 2)^{t - 1}

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\int \frac{3 x ( e ^{- 2 x} - 7 x )}{5} d x

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Frequently Asked Questions (FAQ)

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