Simple differentiation Part - 2

Algebra Level 2

Product of two integers is 1681

Find the maximum value of their sum.

NOTE - 1681 is a perfect square

82 41 infinite 1 Data not sufficient none of these

Parth Bhardwaj by Parth Bhardwaj , 20, India

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1 solution

Parth Bhardwaj
Mar 2, 2015

1681*1 = 1681
1681+1 = 1682 - None of these

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Prove that this is the maxima

Archit Boobna - 6 years, 3 months ago

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That is for rajdeep to do !!!!!!

Parth Bhardwaj - 6 years, 3 months ago

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Thats very easy.

Solution :

We can see on the graph that the maxima will exists only for x ∈ \in +Z

Now for integers we see that x = 1 gives y = 1681.Given function is exponential hence by differentiating we get → \rightarrow Change not linear.

Hence x = 1 is maxima for x ∈ \in Z

Rajdeep Dhingra - 6 years, 3 months ago

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