What is (d^3)/(dx^3)((4x-3)^{1/2}) ?

The answer to (d^3)/(dx^3)((4x-3)^{1/2}) is (24)/((4x-3)^{5/2)}

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(d^3)/(dx^3)((4x-3)^{1/2})

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

\frac{24}{( 4 x - 3 ) ^{\frac{5}{2}}}

Solution steps

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

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

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

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

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

\frac{d}{d x} (- \frac{4}{( 4 x - 3 ) ^{\frac{3}{2}}}) = \frac{24}{( 4 x - 3 ) ^{\frac{5}{2}}}

= \frac{24}{( 4 x - 3 ) ^{\frac{5}{2}}}

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

x \to 1 lim (\frac{∣ x - 8 ∣}{x - 8})

\frac{d}{d x} (\frac{3 x}{1 - x})

x \to 4 lim (- \frac{4}{- x + 4})

\int e^{\frac{1}{x}} d x

What is (d^3)/(dx^3)((4x-3)^{1/2}) ?
The answer to (d^3)/(dx^3)((4x-3)^{1/2}) is (24)/((4x-3)^{5/2)}