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Popular >

derivative of 9/(x^2-3/x)

Solution

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

Solution

- \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{9}{x ^{2}}) - \frac{d}{d x} (\frac{3}{x})

\frac{d}{d x} (\frac{9}{x ^{2}}) = - \frac{18}{x ^{3}}

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

= - \frac{18}{x ^{3}} - (- \frac{3}{x ^{2}})

Simplify

= - \frac{18}{x ^{3}} + \frac{3}{x ^{2}}

Popular Examples

7yln(x)-x(dy)/(dx)=0

7 y ln (x) - x \frac{d y}{d x} = 0

derivative of (2x-1/(2x+1))

\frac{d}{d x} (\frac{2 x - 1}{2 x + 1})

derivative of f(x)=(x^4)/3-6x derivative of

f (x) = \frac{x ^{4}}{3} - 6 x

limit as x approaches 0 of x^2+11

x \to 0 lim (x^{2} + 11)

tangent of f(x)=9x^2+94,\at x=6 tangent of

f (x) = 9 x^{2} + 94, at x = 6

Frequently Asked Questions (FAQ)

What is the derivative of 9/(x^2-3/x) ?
The derivative of 9/(x^2-3/x) is -(18)/(x^3)+3/(x^2)
What is the first derivative of 9/(x^2-3/x) ?
The first derivative of 9/(x^2-3/x) is -(18)/(x^3)+3/(x^2)