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Dear students Differentiate x power underroot 2 with respect to x. Got rewarded by answering early.

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6 years of experience in teaching and 7years of experience in yoga and fitness training

first take y= x^(root 2) then taking log both the sides log y= (root 2) log x now diff w.r.to x 1/y (dy/dx)= (root 2) 1/x so dy/dx= y (root 2/x) now by putting y's value here dy/dx= x^(root 2)* (root 2/x)
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Under root 2 X x power under root minus 1
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root 2 multiply x to the power root 2 minus 1
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1.41(x^0.41)
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root2*
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1/2 square root (x)
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1by2into x power minus2
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minus 1/(2 root over x)
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