Find d²y/dx² if 4x²−2y²= 9

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Find d²y/dx² if 4x²−2y²= 9
Find d²y/dx² if 4x²−2y²= 9

Find d²y/dx² if 4x²−2y²= 9
d(4x²−2y²)/dx = 0
8x - 4y*dy/dx = 0
dy/dx = 2x/y
d²y/dx² = d(dy/dx)/dx = d(2x/y)dx = [d(2x)dx*y - 2x*dy/dx]/y²
= [2y - 2x(2x/y)]/y²
= 2(y² - 2x²)/y³