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For the revenue function , show that the marginal revenue function is increasing for all and .
For the revenue function $R(x) = \frac{bx}{a+x}$, show that the marginal revenue function is increasing for all $b < 0$ and $a > 0$.
Given: $R(x) = \frac{bx}{a+x}$ where $b < 0$ and $a > 0$
To show: The marginal revenue function is increasing for all $b < 0$ and $a > 0$.
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From ISC 2023 Specimen Mathematics Paper 1, question 20(ii).