What is the derivative of f(x)=x^7-1/(x^7) ?

The derivative of f(x)=x^7-1/(x^7) is 7x^6+7/(x^8)

What is the first derivative of f(x)=x^7-1/(x^7) ?

The first derivative of f(x)=x^7-1/(x^7) is 7x^6+7/(x^8)

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derivative of

f (x) = x^{7} - \frac{1}{x ^{7}}

7 x^{6} + \frac{7}{x ^{8}}

Solution steps

\frac{d}{d x} (x^{7} - \frac{1}{x ^{7}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{7}) - \frac{d}{d x} (\frac{1}{x ^{7}})

\frac{d}{d x} (x^{7}) = 7 x^{6}

\frac{d}{d x} (\frac{1}{x ^{7}}) = - \frac{7}{x ^{8}}

= 7 x^{6} - (- \frac{7}{x ^{8}})

Simplify

= 7 x^{6} + \frac{7}{x ^{8}}

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

\frac{d y}{d x} = e^{2 x}

\frac{x}{7 - 3 x}

\int \frac{2 y}{( x ^{2} + y ^{2} ) ^{2}} d y

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

What is the derivative of f(x)=x^7-1/(x^7) ?
The derivative of f(x)=x^7-1/(x^7) is 7x^6+7/(x^8)
What is the first derivative of f(x)=x^7-1/(x^7) ?
The first derivative of f(x)=x^7-1/(x^7) is 7x^6+7/(x^8)