Find the least and highest value of :
8^sin3x . 16^cos3x
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See the diagram.
Let Y = 8^{sin3x} × 16^{cos3x}
Take logarithm. Find derivative. And equate it to zero.
Find 2nd derivative. It should be negative for maximum of Y, and positive for minimum value of Y.
Answers: 32 and 1÷32.
Let Y = 8^{sin3x} × 16^{cos3x}
Take logarithm. Find derivative. And equate it to zero.
Find 2nd derivative. It should be negative for maximum of Y, and positive for minimum value of Y.
Answers: 32 and 1÷32.
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