ID: Class: 12 Subject: Math Topic: Application of Derivative Type: Long (LA) Year: 2025

Question:

The relation between the height of the plant (y cm) with respect to exposure to sunlight is governed by the equation \(y=4x-\frac{1}{2}x^{2},\) where x is the number of days exposed to sunlight.
  • Find the rate of growth of the plant with respect to sunlight.
  • In how many days will the plant attain its maximum height ?
  • What is the maximum height ?