What is the derivative of (3a^2/(x^2)-a/(3x^4)) ?

The derivative of (3a^2/(x^2)-a/(3x^4)) is -(6a^2)/(x^3)+(4a)/(3x^5)

What is the first derivative of (3a^2/(x^2)-a/(3x^4)) ?

The first derivative of (3a^2/(x^2)-a/(3x^4)) is -(6a^2)/(x^3)+(4a)/(3x^5)

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

- \frac{6 a ^{2}}{x ^{3}} + \frac{4 a}{3 x ^{5}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{a}{3 x ^{4}}) = - \frac{4 a}{3 x ^{5}}

= - \frac{6 a ^{2}}{x ^{3}} - (- \frac{4 a}{3 x ^{5}})

Simplify

= - \frac{6 a ^{2}}{x ^{3}} + \frac{4 a}{3 x ^{5}}

f (x) = 24 x

\frac{d}{d x} (- \frac{10}{x ^{11}})

\int e^{x} + 1 d x

\frac{\partial}{\partial y} (ln (x) + ln (y))

\frac{d}{d x} (\frac{3}{( 1 - x ) ^{4}})

What is the derivative of (3a^2/(x^2)-a/(3x^4)) ?
The derivative of (3a^2/(x^2)-a/(3x^4)) is -(6a^2)/(x^3)+(4a)/(3x^5)
What is the first derivative of (3a^2/(x^2)-a/(3x^4)) ?
The first derivative of (3a^2/(x^2)-a/(3x^4)) is -(6a^2)/(x^3)+(4a)/(3x^5)