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y= 4x³- 3x²- 60x+ 24dy/dx = 12x²- 6x- 60 = 2x²- x- 10 = (2x-5)(x+2)
So stationary points are at x= 5/2 and x= -2
d²x/dy² = 24...

oil and gas

1.2 = SQRT(2x-5)square both sides1.2^2 = 2x -5 add 5 to both sides 1.2^2 + 5 = 2xdivide both sides by 2(1.2^2 + 5)/2 = x

2x2x2x2 = 4x2x2 =8x2=16or(2x2)x(2x2)=(4)x(4)=16

Because of the signs within the equation we know that the factorised solution will be in the form (x+?)(x-?)The two numbers in the brackets have a product of -3 and the sum of -2.In this case, the numbers...