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-- Mathematics - Section B1
Continuity and Differentiability
What is the number of days it will take for the plant to grow to the maximum height?
4
6
7
10
$y=4x-\frac{x^2}{2}$
$\frac{dy}{dx}=4-x=0⇒x=4$
$\frac{d^2y}{dx^2}=-1<0$ (Point of maxima)
at $x=4$ days plant grows to max. height