Question

if x+y =0 then maximum value of xy is​

Answer 1

Step-by-step explanation:

Given, x+y=10

⇒y=10−x ...(i)

Now, f(x)=xy=x(10−x)=10x−x

2

Thus f

′

(x)=10−2x

For maximum value of f(x), put f

′

(x)=0

⇒10−2x=0⇒x=5

Thus x=5 and y=5 [from equation (i)]

Hence, maximum value of xy=5×5=25.

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Answer 2

Step-by-step explanation:

infinite ... for examplw 100+(-100) =0 ,100×100 is 10000