What is the derivative of 7+5x-5x^3+7/(x^3) ?

The derivative of 7+5x-5x^3+7/(x^3) is -15x^2-(21)/(x^4)+5

What is the first derivative of 7+5x-5x^3+7/(x^3) ?

The first derivative of 7+5x-5x^3+7/(x^3) is -15x^2-(21)/(x^4)+5

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\frac{d}{d x} (7 + 5 x - 5 x^{3} + \frac{7}{x ^{3}})

- 15 x^{2} - \frac{21}{x ^{4}} + 5

Solution steps

\frac{d}{d x} (7 + 5 x - 5 x^{3} + \frac{7}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7) + \frac{d}{d x} (5 x) - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (\frac{7}{x ^{3}})

\frac{d}{d x} (7) = 0

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (\frac{7}{x ^{3}}) = - \frac{21}{x ^{4}}

= 0 + 5 - 15 x^{2} - \frac{21}{x ^{4}}

Simplify

= - 15 x^{2} - \frac{21}{x ^{4}} + 5

x \to 0 lim (- x^{2})

t \to - 5 lim (\frac{t ^{2}}{5 - t})

\int 13 - 4 x^{2} d x

d y = cos (x - y) d x

\int_{0}^{\infty} 5 sin^{2} (x) d x

What is the derivative of 7+5x-5x^3+7/(x^3) ?
The derivative of 7+5x-5x^3+7/(x^3) is -15x^2-(21)/(x^4)+5
What is the first derivative of 7+5x-5x^3+7/(x^3) ?
The first derivative of 7+5x-5x^3+7/(x^3) is -15x^2-(21)/(x^4)+5