What is the derivative of g(x)=x^5+1/(x^5) ?

The derivative of g(x)=x^5+1/(x^5) is 5x^4-5/(x^6)

What is the first derivative of g(x)=x^5+1/(x^5) ?

The first derivative of g(x)=x^5+1/(x^5) is 5x^4-5/(x^6)

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derivative of

g (x) = x^{5} + \frac{1}{x ^{5}}

5 x^{4} - \frac{5}{x ^{6}}

Solution steps

\frac{d}{d x} (x^{5} + \frac{1}{x ^{5}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (\frac{1}{x ^{5}})

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

\frac{d}{d x} (\frac{1}{x ^{5}}) = - \frac{5}{x ^{6}}

= 5 x^{4} - \frac{5}{x ^{6}}

x \to - 3 + lim (\frac{1}{x ^{2} - 9})

(1, - 19), (- 2, - 7)

\int (t ln (t))^{2} d t

\int sin (2 x + y) d x

\int \frac{x x ^{2} + 4}{x ^{2} - 1} d x

What is the derivative of g(x)=x^5+1/(x^5) ?
The derivative of g(x)=x^5+1/(x^5) is 5x^4-5/(x^6)
What is the first derivative of g(x)=x^5+1/(x^5) ?
The first derivative of g(x)=x^5+1/(x^5) is 5x^4-5/(x^6)