First slide

Application of diffrentiation

Question

The maximum value of xy subject to x + y = 8, is :

Moderate

A

8
B

16
C

20
D

24

Solution

$\begin{array}{l} x + y = 8 \\ A = x y \\ A = x (8 - x) \\ A = 8 x - x^{2} \\ \frac{d A}{d X} = 8 - 2 x \\ x = 4 \\ y = 4 \\ A = x y = 16 \end{array}$

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