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

The answer to (d^2)/(dx^2)(x(2x+1)^4) is 16(2x+1)^3+48x(2x+1)^2

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

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

16 (2 x + 1)^{3} + 48 x (2 x + 1)^{2}

Solution steps

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

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

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

\frac{d}{d x} ((2 x + 1)^{4} + 8 x (2 x + 1)^{3}) = 16 (2 x + 1)^{3} + 48 x (2 x + 1)^{2}

= 16 (2 x + 1)^{3} + 48 x (2 x + 1)^{2}

What is (d^2)/(dx^2)(x(2x+1)^4) ?
The answer to (d^2)/(dx^2)(x(2x+1)^4) is 16(2x+1)^3+48x(2x+1)^2