(sinx-cosx)^(sinx-cosx), π/4 < x< 3π/4

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asked Jan 19, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 941
edited Jan 19, 2018 by sforrest072

(sinx-cosx)(sinx-cosx),  π/4 < x< 3π/4

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answered Jan 19, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 19, 2018 by sforrest072
 
Best answer

Let y= (sinx -cosx)( sinx-cosx)

Taking logarithm on both the sides, we obtain

Differentiating both sides with respect to x, we obtain

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