What is the derivative of y=5x^2-12x-8/(x^2) ?

The derivative of y=5x^2-12x-8/(x^2) is 10x-12+(16)/(x^3)

What is the first derivative of y=5x^2-12x-8/(x^2) ?

The first derivative of y=5x^2-12x-8/(x^2) is 10x-12+(16)/(x^3)

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derivative of

y = 5 x^{2} - 12 x - \frac{8}{x ^{2}}

10 x - 12 + \frac{16}{x ^{3}}

Solution steps

\frac{d}{d x} (5 x^{2} - 12 x - \frac{8}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (12 x) - \frac{d}{d x} (\frac{8}{x ^{2}})

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

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (\frac{8}{x ^{2}}) = - \frac{16}{x ^{3}}

= 10 x - 12 - (- \frac{16}{x ^{3}})

Simplify

= 10 x - 12 + \frac{16}{x ^{3}}

- \frac{1}{2 x ^{\frac{3}{2}}}

\int 2 tanh (x) d x

ln (7)

\int x (6 + 5 x) d x

\frac{4}{( x )}

What is the derivative of y=5x^2-12x-8/(x^2) ?
The derivative of y=5x^2-12x-8/(x^2) is 10x-12+(16)/(x^3)
What is the first derivative of y=5x^2-12x-8/(x^2) ?
The first derivative of y=5x^2-12x-8/(x^2) is 10x-12+(16)/(x^3)