Derivative of the function: (x^(5/2)+2x)(x^3-4)
Let y = u*v, where u = (x^(5/2)+2x) and v = (x^3-4)
Then dy/dx = u*v’ + u’*v,
with u’ = du/dx = (5/2)x^(3/2) + 2, and v’ = dv/dx = 3x^2,
giving
dy/dx = ((5/2)x^(3/2) + 2)(3x^2)
Answer: 3((5/2)x^(3/2) + 2).x^2