What is (d^2)/(dx^2)(x(2x+1)^5) ?

The answer to (d^2)/(dx^2)(x(2x+1)^5) is 20(2x+1)^4+80x(2x+1)^3

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(d^2)/(dx^2)(x(2x+1)^5)

\frac{d ^{2}}{d x ^{2}} (x (2 x + 1)^{5})

20 (2 x + 1)^{4} + 80 x (2 x + 1)^{3}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x (2 x + 1)^{5})

\frac{d}{d x} (x (2 x + 1)^{5}) = (2 x + 1)^{5} + 10 x (2 x + 1)^{4}

= \frac{d}{d x} ((2 x + 1)^{5} + 10 x (2 x + 1)^{4})

\frac{d}{d x} ((2 x + 1)^{5} + 10 x (2 x + 1)^{4}) = 20 (2 x + 1)^{4} + 80 x (2 x + 1)^{3}

= 20 (2 x + 1)^{4} + 80 x (2 x + 1)^{3}

\int - 4 x e^{x} d x

y^{^{'}} + (tan (x)) y = cos (x)

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

\frac{1}{( s - 5 ) ^{4}}

y^{^{'}} + tan (2 \cdot x) y = 0

What is (d^2)/(dx^2)(x(2x+1)^5) ?
The answer to (d^2)/(dx^2)(x(2x+1)^5) is 20(2x+1)^4+80x(2x+1)^3