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Popular >

derivative of y=5x^2-10x-6x^{-2}

Solution

derivative of

y = 5 x^{2} - 10 x - 6 x^{- 2}

Solution

10 x - 10 + \frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (5 x^{2} - 10 x - 6 x^{- 2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (10 x) - \frac{d}{d x} (6 x^{- 2})

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (6 x^{- 2}) = - \frac{12}{x ^{3}}

= 10 x - 10 - (- \frac{12}{x ^{3}})

Simplify

= 10 x - 10 + \frac{12}{x ^{3}}

Popular Examples

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\frac{d}{d x} (\frac{sin ( x )}{cos ( x )})

(\partial)/(\partial x)(-(x-y)/(x^2(x+y)))

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

derivative of f(x)=2(13-x^4)derivative of

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\int_{1}^{8} \frac{1}{x 16 x ^{2} - 9} d x

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x \to 6 lim (cos (\frac{1}{x - 6}))

Frequently Asked Questions (FAQ)

What is the derivative of y=5x^2-10x-6x^{-2} ?
The derivative of y=5x^2-10x-6x^{-2} is 10x-10+(12)/(x^3)
What is the first derivative of y=5x^2-10x-6x^{-2} ?
The first derivative of y=5x^2-10x-6x^{-2} is 10x-10+(12)/(x^3)