y = ( (x^3 - 2) / (2x^5 - 1) ) ^4
dy/dx = 4 * ( ( (x^3 - 2) / (2x^5 - 1) ) ^3 ) * ( (2x^5 - 1)(3x^2) - (x^3 - 2)(10x^4) ) / (2x^5 - 1)^2
At x = 1:
dy/dx = 4 * ( ( (1^3 - 2) / (2(1^5) - 1) ) ^3 ) * ( (2(1^5) - 1)(3(1^2)) - ((1^3) - 2)(10(1^4)) ) / (2(1^5) - 1)^2
dy/dx = 4 * ( ( (1 - 2) / (2(1) - 1) ) ^3 ) * ( (2(1) - 1)(3(1)) - ((1) - 2)(10(1)) ) / (2(1) - 1)^2
dy/dx = 4 * ( ( (-1) / (2 - 1) ) ^3 ) * ( (2 - 1)(3) - (1 - 2)(10) ) / (2 - 1)^2
dy/dx = 4 * ( ( (-1) / (-1) ) ^3 ) * ( (-1)(3) - (-1)(10) ) / (-1)^2
dy/dx = 4 * ( (1) ^3 ) * ( -3 +10 ) / 1
dy/dx = 4 * (1) * (7)
dy/dx = 28