What is (d^2)/(dx^2)(x(2x+3)^5) ?

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

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(d^2)/(dx^2)(x(2x+3)^5)

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

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

Solution steps

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

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

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

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

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

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

h \to 0 lim (3 - 4 h)

\frac{d}{d x} (- 600 x^{- 2})

x, x, 0, 2

\int \frac{1}{5 x + 1} d x

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