1. The problem is to interpret and convert the given partial derivatives expressions into words. 2. The expressions given are: $$\frac{\partial a}{\partial x} \frac{\partial a^2}{\partial^2 x} \frac{\partial b}{\partial x} = -2(3x+a)x, = 2(3x+a)3^3x^2, = 2x(3x+a)^1$$ 3. Let's break down each part: - $\frac{\partial a}{\partial x}$ means "the partial derivative of $a$ with respect to $x$." - $\frac{\partial a^2}{\partial^2 x}$ is a bit ambiguous but likely means "the second partial derivative of $a^2$ with respect to $x$." - $\frac{\partial b}{\partial x}$ means "the partial derivative of $b$ with respect to $x$." 4. The right side expressions are: - $-2(3x+a)x$ means "negative two times the quantity three times $x$ plus $a$, multiplied by $x$." - $2(3x+a)3^3x^2$ means "two times the quantity three times $x$ plus $a$, times three cubed, times $x$ squared." - $2x(3x+a)^1$ means "two times $x$ times the quantity three times $x$ plus $a$ to the first power." 5. In words, the entire expression can be read as: "The partial derivative of $a$ with respect to $x$, multiplied by the second partial derivative of $a$ squared with respect to $x$, multiplied by the partial derivative of $b$ with respect to $x$, equals negative two times the quantity three times $x$ plus $a$, times $x$; equals two times the quantity three times $x$ plus $a$, times three cubed, times $x$ squared; equals two times $x$ times the quantity three times $x$ plus $a$ to the first power." 6. This is a verbal conversion of the mathematical expressions provided.