What is the derivative of-7sqrt(x^3)-2/(x^3+7x) ?

The derivative of-7sqrt(x^3)-2/(x^3+7x) is -(21sqrt(x))/2+6/(x^4)+7

What is the first derivative of-7sqrt(x^3)-2/(x^3+7x) ?

The first derivative of-7sqrt(x^3)-2/(x^3+7x) is -(21sqrt(x))/2+6/(x^4)+7

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\frac{d}{d x} (- 7 x^{3} - \frac{2}{x ^{3}} + 7 x)

- \frac{21 x}{2} + \frac{6}{x ^{4}} + 7

Solution steps

\frac{d}{d x} (- 7 x^{3} - \frac{2}{x ^{3}} + 7 x)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (7 x^{3}) - \frac{d}{d x} (\frac{2}{x ^{3}}) + \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x^{3}) = \frac{21 x}{2}

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

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

= - \frac{21 x}{2} - (- \frac{6}{x ^{4}}) + 7

Simplify

= - \frac{21 x}{2} + \frac{6}{x ^{4}} + 7

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y^{^{'}} - y^{2} = 0

sin^{3} (cos (8 x))

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\frac{\partial}{\partial x} (4 + ln (x y - 5))

What is the derivative of-7sqrt(x^3)-2/(x^3+7x) ?
The derivative of-7sqrt(x^3)-2/(x^3+7x) is -(21sqrt(x))/2+6/(x^4)+7
What is the first derivative of-7sqrt(x^3)-2/(x^3+7x) ?
The first derivative of-7sqrt(x^3)-2/(x^3+7x) is -(21sqrt(x))/2+6/(x^4)+7