1.7.17 Product and quotient rules (A-level only)

The yield, $Y$ , of a certain chemical reaction is related to the operating temperature, $x$ , by the equation

\frac{5x + 15}{(2x - 8)^2}, \quad x \in \mathbb{R}, \quad x \neq 4

where $x\,$ is measured in degrees Celsius.

Use calculus to find the set of values of $x\,$ for which the yield $Y\,$ is increasing.

[7]

The yield, $Y$ , of a certain chemical reaction is related to the operating temperature, $x$ , by the equation

\frac{5x + 15}{(2x - 8)^2}, \quad x \in \mathbb{R}, \quad x \neq 4

where $x\,$ is measured in degrees Celsius.

Use calculus to find the set of values of $x\,$ for which the yield $Y\,$ is increasing.

[7]

1.7.17 Product and quotient rules (A-level only) Questions