what is the derivative of y = (4x squared - 5/2x+3)raise to 3/2 three halves..

Answer 1

If y = (4x^2 - (5/2)x + 3)^(3/2) , then
dy/dx = (3/2)(4x^2- (5/2)x + 3)^(1/2) (8x - 5/2)
of
(12x - 15/4)√(4x^2 - 5x/2 + 3)