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Popular >

(d^3)/(dx^3)(sqrt(x))

Solution

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

Solution

\frac{3}{8 x ^{\frac{5}{2}}}

Solution steps

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

\frac{d}{d x} (x) = \frac{1}{2 x}

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

\frac{d}{d x} (\frac{1}{2 x}) = - \frac{1}{4 x ^{\frac{3}{2}}}

= \frac{d}{d x} (- \frac{1}{4 x ^{\frac{3}{2}}})

\frac{d}{d x} (- \frac{1}{4 x ^{\frac{3}{2}}}) = \frac{3}{8 x ^{\frac{5}{2}}}

= \frac{3}{8 x ^{\frac{5}{2}}}

Popular Examples

maclaurin e^{4x}maclaurin

e^{4 x}

integral of (cos(ln(4x^2)))/x

\int \frac{cos ( ln ( 4 x ^{2} ) )}{x} d x

6y^'=y^2,y(0)=5

6 y^{^{'}} = y^{2}, y (0) = 5

(2 x - 1)^{^{'}}

integral of (x^2)/((4-x^2)^{3/2)}

\int \frac{x ^{2}}{( 4 - x ^{2} ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(sqrt(x)) ?
The answer to (d^3)/(dx^3)(sqrt(x)) is 3/(8x^{5/2)}