What is (d^2)/(dx^2)(sqrt(4x+1)) ?

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

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(d^2)/(dx^2)(sqrt(4x+1))

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

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

Solution steps

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

\frac{d}{d x} (4 x + 1) = \frac{2}{4 x + 1}

= \frac{d}{d x} (\frac{2}{4 x + 1})

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

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

\int 2 x + 5 e^{x} d x

\frac{d}{d x} (8 x - 1)

y^{^{''}} + 9 y = 0, y (0) = 5, y^{^{'}} (0) = 1

x \to 9 lim (\frac{7 x}{x - 9})

\int sec^{2} (3 x + 2) d x

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