What is the derivative of h(x)= 3/(x^2)+5/(x^4) ?

The derivative of h(x)= 3/(x^2)+5/(x^4) is -6/(x^3)-(20)/(x^5)

What is the first derivative of h(x)= 3/(x^2)+5/(x^4) ?

The first derivative of h(x)= 3/(x^2)+5/(x^4) is -6/(x^3)-(20)/(x^5)

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derivative of

h (x) = \frac{3}{x ^{2}} + \frac{5}{x ^{4}}

- \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{2}} + \frac{5}{x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{x ^{2}}) + \frac{d}{d x} (\frac{5}{x ^{4}})

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

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

= - \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

What is the derivative of h(x)= 3/(x^2)+5/(x^4) ?
The derivative of h(x)= 3/(x^2)+5/(x^4) is -6/(x^3)-(20)/(x^5)
What is the first derivative of h(x)= 3/(x^2)+5/(x^4) ?
The first derivative of h(x)= 3/(x^2)+5/(x^4) is -6/(x^3)-(20)/(x^5)