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

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

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

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

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

2 x - \frac{2 a ^{4}}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d y}{d x} = \frac{x - 1}{y - 4}

\frac{d}{d x} (\frac{x - 4}{x})

n = 1 \sum \infty \frac{1}{4 n}

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

\int \frac{1}{20} x d x

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