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Popular >

(d^3)/(dx^3)(5/(x^2))

Solution

\frac{d ^{3}}{d x ^{3}} (\frac{5}{x ^{2}})

Solution

- \frac{120}{x ^{5}}

Solution steps

\frac{d ^{3}}{d x ^{3}} (\frac{5}{x ^{2}})

\frac{d}{d x} (\frac{5}{x ^{2}}) = - \frac{10}{x ^{3}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{10}{x ^{3}})

\frac{d}{d x} (- \frac{10}{x ^{3}}) = \frac{30}{x ^{4}}

= \frac{d}{d x} (\frac{30}{x ^{4}})

\frac{d}{d x} (\frac{30}{x ^{4}}) = - \frac{120}{x ^{5}}

= - \frac{120}{x ^{5}}

Popular Examples

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

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

limit as x approaches-infinity of x^2+1

x \to - \infty lim (x^{2} + 1)

y^{''}-2y^'-3y=-5xe^{4x}

y^{^{''}} - 2 y^{^{'}} - 3 y = - 5 x e^{4 x}

limit as x approaches c of \sqrt[3]{f(x)}

derivative of f(x)= 3/(sqrt(x+5))derivative of

f (x) = \frac{3}{x + 5}

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(5/(x^2)) ?
The answer to (d^3)/(dx^3)(5/(x^2)) is -(120)/(x^5)