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

The answer to (d^2)/(dx^2)(x(3x+2)^5) is 30(3x+2)^4+180x(3x+2)^3

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

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

30 (3 x + 2)^{4} + 180 x (3 x + 2)^{3}

Solution steps

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

\frac{d}{d x} (x (3 x + 2)^{5}) = (3 x + 2)^{5} + 15 x (3 x + 2)^{4}

= \frac{d}{d x} ((3 x + 2)^{5} + 15 x (3 x + 2)^{4})

\frac{d}{d x} ((3 x + 2)^{5} + 15 x (3 x + 2)^{4}) = 30 (3 x + 2)^{4} + 180 x (3 x + 2)^{3}

= 30 (3 x + 2)^{4} + 180 x (3 x + 2)^{3}

y = \frac{x}{x ^{2} + 5}

\frac{\partial}{\partial x} (1 - y)

\frac{\partial}{\partial x} (\frac{a}{ln ( x ) - c})

y^{^{'}} + \frac{4 y}{x} = - \frac{4}{x}

f (x) = \frac{6 x}{x ^{2} - 3}, at x = 3

What is (d^2)/(dx^2)(x(3x+2)^5) ?
The answer to (d^2)/(dx^2)(x(3x+2)^5) is 30(3x+2)^4+180x(3x+2)^3