Question

find dy/dx if y= (2x-1)(5x½+7)/x½​

Answer 1

Step-by-step explanation:

y = ( 10x^(3/2) + 14x - 5x^(1/2) -7) / x^(1/2)

y = 10x^2 + 14x^(1/2) - 5 - 7x^(-1x2)

apply derivative

dy/dx = (10)(2x) + (1/2)(14)x^(-1/2) - 0 - (-1/2)x^(-3/2)

dy/dx = 20x + 7x^(-1/2) + 0.5 x^(-3/2)