What is the derivative of 3/(x^6-1/(x^4)+5) ?

The derivative of 3/(x^6-1/(x^4)+5) is 4/(x^5)-(18)/(x^7)

What is the first derivative of 3/(x^6-1/(x^4)+5) ?

The first derivative of 3/(x^6-1/(x^4)+5) is 4/(x^5)-(18)/(x^7)

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\frac{d}{d x} (\frac{3}{x ^{6}} - \frac{1}{x ^{4}} + 5)

\frac{4}{x ^{5}} - \frac{18}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{6}} - \frac{1}{x ^{4}} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{x ^{6}}) - \frac{d}{d x} (\frac{1}{x ^{4}}) + \frac{d}{d x} (5)

\frac{d}{d x} (\frac{3}{x ^{6}}) = - \frac{18}{x ^{7}}

\frac{d}{d x} (\frac{1}{x ^{4}}) = - \frac{4}{x ^{5}}

\frac{d}{d x} (5) = 0

= - \frac{18}{x ^{7}} - (- \frac{4}{x ^{5}}) + 0

Simplify

= \frac{4}{x ^{5}} - \frac{18}{x ^{7}}

f (x) = (3 x^{2} + 2) (8 x^{3} - 3)

\frac{d y}{d x} = 5 y x

\int \frac{30}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

\int 8 - x^{2} d x

What is the derivative of 3/(x^6-1/(x^4)+5) ?
The derivative of 3/(x^6-1/(x^4)+5) is 4/(x^5)-(18)/(x^7)
What is the first derivative of 3/(x^6-1/(x^4)+5) ?
The first derivative of 3/(x^6-1/(x^4)+5) is 4/(x^5)-(18)/(x^7)