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Differentiate y= (6x^2 - 5)^(3/2) with respect to x

Simplify the equation to y=u^3/2where u = 6x² -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u^1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u^1/2 x 12xBut u = 6x²-5 so substitute that into the derivative.dy/dx = 3/2(6x²-5)^1/2 x 12xSimplify to dy/dx= 18x(6x²-5)^1/2

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Differentiate y= (6x^2 - 5)^(3/2) with respect to x

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