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Popular >

derivative of 6/(x^4+1/(x^2))

Solution

\frac{d}{d x} (\frac{6}{x ^{4}} + \frac{1}{x ^{2}})

Solution

- \frac{24}{x ^{5}} - \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{6}{x ^{4}} + \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{6}{x ^{4}}) + \frac{d}{d x} (\frac{1}{x ^{2}})

\frac{d}{d x} (\frac{6}{x ^{4}}) = - \frac{24}{x ^{5}}

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= - \frac{24}{x ^{5}} - \frac{2}{x ^{3}}

Popular Examples

integral of 1/((sqrt(2x-x^2)))

\int \frac{1}{( 2 x - x ^{2} )} d x

integral of (x^6+1)

\int (x^{6} + 1) d x

limit as x approaches 0+of x^{2sqrt(x)}

x \to 0 + lim (x^{2 x})

y^'=(2x)/((y+x^2y))

y^{^{'}} = \frac{2 x}{( y + x ^{2} y )}

limit as y approaches 0 of (sin(y))/y

y \to 0 lim (\frac{sin ( y )}{y})

Frequently Asked Questions (FAQ)

What is the derivative of 6/(x^4+1/(x^2)) ?
The derivative of 6/(x^4+1/(x^2)) is -(24)/(x^5)-2/(x^3)
What is the first derivative of 6/(x^4+1/(x^2)) ?
The first derivative of 6/(x^4+1/(x^2)) is -(24)/(x^5)-2/(x^3)