Find maximum and minimum value of sin2x+5 from second derivative test.

+2 votes
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asked Nov 15, 2017 by Kumod kumar (55 points) 3
commented Nov 15, 2017 by Kumod kumar (55 points) 3
Sir, I'm  not getting your answer of my own question.

1 Answer

+2 votes
answered Nov 16, 2017 by Ankit Agarwal (28,847 points) 7 34 107

f(x)=sin 2x+5 

We know that, 

-1≤sinӨ≤1 

-1≤sin2x≤1 

Adding 5 on both sides, 

 -1+5≤sin2x+5≤1+5 

4≤sin2x+5≤6 

Hence  

Max value of f(x)=sin2x+5 will be 6 

Min value of f(x) =sin2x+5 will be 4

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