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Popular >

(d^4)/(dx^4)(8sqrt(x))

Solution

\frac{d ^{4}}{d x ^{4}} (8 x)

Solution

- \frac{15}{2 x ^{\frac{7}{2}}}

Solution steps

\frac{d ^{4}}{d x ^{4}} (8 x)

\frac{d}{d x} (8 x) = \frac{4}{x}

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

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

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

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

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

\frac{d}{d x} (\frac{3}{x ^{\frac{5}{2}}}) = - \frac{15}{2 x ^{\frac{7}{2}}}

= - \frac{15}{2 x ^{\frac{7}{2}}}

Popular Examples

(\partial)/(\partial x)((3x-2y)/(5x+y))

\frac{\partial}{\partial x} (\frac{3 x - 2 y}{5 x + y})

derivative of-sin(x-cos(x))

\frac{d}{d x} (- sin (x) - cos (x))

derivative of-2x^2y

\frac{d}{d x} (- 2 x^{2} y)

y^{^{'}} = y (x y^{4} + 1)

integral of (x+1)/(sqrt(9-x^2))

\int \frac{x + 1}{9 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is (d^4)/(dx^4)(8sqrt(x)) ?
The answer to (d^4)/(dx^4)(8sqrt(x)) is -(15)/(2x^{7/2)}